Is the result of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 +. + 2007 odd or even

Is the result of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 +. + 2007 odd or even

1+3+5+7...+2007
= (1+2007) × 2007 / 2
= 2008 × 2007/2
= 1004 × 2007
Even × odd = even