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Not a species, but a hybrid created in Florida between cherimoya (Annona cherimola) and sugar apple (A. squamosa). One of the best  Annonas, often sweeter and fruitier flavored than the cherimoya. Typically 1 ½ to 2 lb, custard-like flesh. Grows in hot tropical areas.

The first cross was made in 1908 by P.J. Wester, a horticulturist at the USDA’s Subtropical Laboratory in Miami. Subsequently, in 1917, Edward Simmons at Miami’s Plant Introduction Station successfully grew hybrids that survived a drop in temperature to 26.5°F, showing atemoya’s hardiness derived from one of its parents, the cherimoya. 3

The fruit resulting from the cross between the sugar apple and the custard apple were given the name "atemoya", a combination of "ate", an old Mexican name for sugar apple, and "moya" from cherimoya. 3