It's not e2π, it's eiπ … where i = √-1. The value of eiπ is negative one.
≈ positive one.
When you add the terms together (the "0.002" is presumably a fudge factor since the summation approaches, but does not equal, positive one) you get zero.
That's how much the check is worth.
(Can you really trust the math of someone who spells π "pie"?)