diff --git a/doc/source/whatsnew/v3.0.0.rst b/doc/source/whatsnew/v3.0.0.rst
index 0b7135b2d109d..53b84262a9208 100644
--- a/doc/source/whatsnew/v3.0.0.rst
+++ b/doc/source/whatsnew/v3.0.0.rst
@@ -1169,6 +1169,7 @@ Sparse
 - Bug in :class:`SparseDtype` for equal comparison with na fill value. (:issue:`54770`)
 - Bug in :meth:`DataFrame.sparse.from_spmatrix` which hard coded an invalid ``fill_value`` for certain subtypes. (:issue:`59063`)
 - Bug in :meth:`DataFrame.sparse.to_dense` which ignored subclassing and always returned an instance of :class:`DataFrame` (:issue:`59913`)
+- Bug in :meth:`cumsum` for integer arrays Calling SparseArray.cumsum caused max recursion depth error. (:issue:`62669`)
 
 ExtensionArray
 ^^^^^^^^^^^^^^
diff --git a/pandas/core/arrays/sparse/array.py b/pandas/core/arrays/sparse/array.py
index e6ff67af78700..ca0e0f015b77f 100644
--- a/pandas/core/arrays/sparse/array.py
+++ b/pandas/core/arrays/sparse/array.py
@@ -1570,7 +1570,7 @@ def cumsum(self, axis: AxisInt = 0, *args, **kwargs) -> SparseArray:
         if axis is not None and axis >= self.ndim:  # Mimic ndarray behaviour.
             raise ValueError(f"axis(={axis}) out of bounds")
 
-        if not self._null_fill_value:
+        if not self._null_fill_value and self.fill_value != 0:
             return SparseArray(self.to_dense()).cumsum()
 
         return SparseArray(
diff --git a/pandas/tests/arrays/sparse/test_array.py b/pandas/tests/arrays/sparse/test_array.py
index 1b685100e4931..f382dc80aa216 100644
--- a/pandas/tests/arrays/sparse/test_array.py
+++ b/pandas/tests/arrays/sparse/test_array.py
@@ -363,6 +363,20 @@ def test_setting_fill_value_fillna_still_works():
     tm.assert_numpy_array_equal(result, expected)
 
 
+def test_cumsum_integer_no_recursion():
+    # GH 62669: RecursionError in integer SparseArray.cumsum
+    arr = SparseArray([1, 2, 3])
+    result = arr.cumsum()
+    expected = SparseArray([1, 3, 6])
+    tm.assert_sp_array_equal(result, expected)
+
+    # Also test with some zeros interleaved
+    arr2 = SparseArray([0, 1, 0, 2])
+    result2 = arr2.cumsum()
+    expected2 = SparseArray([0, 1, 1, 3])
+    tm.assert_sp_array_equal(result2, expected2)
+
+
 def test_setting_fill_value_updates():
     arr = SparseArray([0.0, np.nan], fill_value=0)
     arr.fill_value = np.nan