A.P.: (2,6,10,14,\ldots)

(a=2), (d=4)

[ S_n=\dfrac{n}{2}[4+(n-1)4]=\dfrac{n}{2}\cdot4n=2n^2 ]

[ 2n^2>2000\implies n^2>1000\implies n\ge32 ] ((31^2=961), (32^2=1024))

Answer: 32 terms