PUMaC 2011 Team Sudoku Problem 1

The following is a normal addition where each letter represents a (distinct) digit: G O T+T O+G O+T O=T O P. This certainly does not have a unique solution. However, you discover suddenly that G=2 and P \notin\{4,7\}. Then what is the numeric value of the expression G O T \times T O?