Heat oven to 350°F. Line 24 regular-size muffin cups with paper baking cups or grease cups with shortening or cooking spray. In large bowl, beat granulated sugar, applesauce, butter and eggs with electric mixer on medium speed until smooth and creamy, scraping bowl occasionally. On low speed, beat in flour, cinnamon, baking powder, baking soda, salt and nutmeg just until well blended, scraping bowl occasionally. Divide batter evenly among muffin cups.