2. A regular 2007-gon $P$ is divided by some of its non-intersecting diagonals into several regions, each of which is a triangle. Then the number of acute triangles is ( ).
(A) 0
(B) 1
(C) greater than 1
(D) depends on the method of division

直接输出了翻译结果，保留了源文本的换行和格式。
2.B.

Only the triangle containing the center $O$ of the regular 2007-gon is an acute triangle, so there is only one.