diff --git a/src/main/java/org/springframework/data/util/CloseableIterator.java b/src/main/java/org/springframework/data/util/CloseableIterator.java
index 6210dfab1..af7de254c 100644
--- a/src/main/java/org/springframework/data/util/CloseableIterator.java
+++ b/src/main/java/org/springframework/data/util/CloseableIterator.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2015-2021 the original author or authors.
+ * Copyright 2015-2022 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -18,7 +18,6 @@ package org.springframework.data.util;
 import java.io.Closeable;
 import java.util.Iterator;
 import java.util.Spliterator;
-import java.util.Spliterators;
 import java.util.stream.Stream;
 import java.util.stream.StreamSupport;
 
@@ -49,12 +48,14 @@ public interface CloseableIterator<T> extends Iterator<T>, Closeable {
 	 * The default implementation should be overridden by subclasses that can return a more efficient spliterator. To
 	 * preserve expected laziness behavior for the {@link #stream()} method, spliterators should either have the
 	 * characteristic of {@code IMMUTABLE} or {@code CONCURRENT}, or be late-binding.
+	 * <p>
+	 * The default implementation does not report a size.
 	 *
 	 * @return a {@link Spliterator} over the elements in this {@link Iterator}.
 	 * @since 2.4
 	 */
 	default Spliterator<T> spliterator() {
-		return Spliterators.spliterator(this, 0, 0);
+		return new IteratorSpliterator<>(this);
 	}
 
 	/**
diff --git a/src/main/java/org/springframework/data/util/IteratorSpliterator.java b/src/main/java/org/springframework/data/util/IteratorSpliterator.java
new file mode 100644
index 000000000..32ebcb5ce
--- /dev/null
+++ b/src/main/java/org/springframework/data/util/IteratorSpliterator.java
@@ -0,0 +1,117 @@
+/*
+ * Copyright 2022 the original author or authors.
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *      https://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.springframework.data.util;
+
+import java.util.Comparator;
+import java.util.Iterator;
+import java.util.Spliterator;
+import java.util.Spliterators;
+import java.util.function.Consumer;
+
+/**
+ * A Spliterator using a given Iterator for element operations. The spliterator implements {@code trySplit} to permit
+ * limited parallelism.
+ */
+class IteratorSpliterator<T> implements Spliterator<T> {
+
+	private static final int BATCH_UNIT = 1 << 10; // batch array size increment
+	private static final int MAX_BATCH = 1 << 25; // max batch array size;
+	private final Iterator<? extends T> it;
+	private long est; // size estimate
+	private int batch; // batch size for splits
+
+	/**
+	 * Creates a spliterator using the given iterator for traversal, and reporting the given initial size and
+	 * characteristics.
+	 *
+	 * @param iterator the iterator for the source
+	 */
+	public IteratorSpliterator(Iterator<? extends T> iterator) {
+		this.it = iterator;
+		this.est = Long.MAX_VALUE;
+	}
+
+	@Override
+	public Spliterator<T> trySplit() {
+		/*
+		 * Split into arrays of arithmetically increasing batch
+		 * sizes.  This will only improve parallel performance if
+		 * per-element Consumer actions are more costly than
+		 * transferring them into an array.  The use of an
+		 * arithmetic progression in split sizes provides overhead
+		 * vs parallelism bounds that do not particularly favor or
+		 * penalize cases of lightweight vs heavyweight element
+		 * operations, across combinations of #elements vs #cores,
+		 * whether or not either are known.  We generate
+		 * O(sqrt(#elements)) splits, allowing O(sqrt(#cores))
+		 * potential speedup.
+		 */
+		Iterator<? extends T> i = it;
+		long s = est;
+		if (s > 1 && i.hasNext()) {
+			int n = batch + BATCH_UNIT;
+			if (n > s) {
+				n = (int) s;
+			}
+			if (n > MAX_BATCH) {
+				n = MAX_BATCH;
+			}
+			Object[] a = new Object[n];
+			int j = 0;
+			do {
+				a[j] = i.next();
+			} while (++j < n && i.hasNext());
+			batch = j;
+			if (est != Long.MAX_VALUE) {
+				est -= j;
+			}
+			return Spliterators.spliterator(a, 0, j, 0);
+		}
+		return null;
+	}
+
+	@Override
+	public void forEachRemaining(Consumer<? super T> action) {
+		it.forEachRemaining(action);
+	}
+
+	@Override
+	public boolean tryAdvance(Consumer<? super T> action) {
+		if (it.hasNext()) {
+			action.accept(it.next());
+			return true;
+		}
+		return false;
+	}
+
+	@Override
+	public long estimateSize() {
+		return -1;
+	}
+
+	@Override
+	public int characteristics() {
+		return 0;
+	}
+
+	@Override
+	public Comparator<? super T> getComparator() {
+		if (hasCharacteristics(Spliterator.SORTED)) {
+			return null;
+		}
+		throw new IllegalStateException();
+	}
+}
diff --git a/src/test/java/org/springframework/data/util/CloseableIteratorUnitTests.java b/src/test/java/org/springframework/data/util/CloseableIteratorUnitTests.java
index d9c61b08d..e7b2c3509 100644
--- a/src/test/java/org/springframework/data/util/CloseableIteratorUnitTests.java
+++ b/src/test/java/org/springframework/data/util/CloseableIteratorUnitTests.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2020-2021 the original author or authors.
+ * Copyright 2020-2022 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -21,6 +21,7 @@ import java.util.Arrays;
 import java.util.Iterator;
 import java.util.List;
 import java.util.stream.Collectors;
+import java.util.stream.IntStream;
 import java.util.stream.Stream;
 
 import org.junit.jupiter.api.Test;
@@ -43,6 +44,26 @@ class CloseableIteratorUnitTests {
 		assertThat(iterator.closed).isFalse();
 	}
 
+	@Test // GH-2519
+	void shouldCount() {
+
+		CloseableIteratorImpl<String> iterator = new CloseableIteratorImpl<>(Arrays.asList("1", "2", "3").iterator());
+
+		long count = iterator.stream().count();
+
+		assertThat(count).isEqualTo(3);
+	}
+
+	@Test // GH-2519
+	void shouldCountLargeStream() {
+
+		CloseableIteratorImpl<Integer> iterator = new CloseableIteratorImpl<>(IntStream.range(0, 2048).boxed().iterator());
+
+		long count = iterator.stream().count();
+
+		assertThat(count).isEqualTo(2048);
+	}
+
 	@Test // DATACMNS-1637
 	void closeStreamShouldCloseIterator() {