Negative Numbers · Superchallenge problem

Start in the top-left square of this grid and move to the bottom-right square, stepping only right or down. Multiply together the five numbers you pass through (including the first and last squares).

$\begin{array}{|c|c|c|}\hline 2 & -3 & -4\\ \hline -5 & 6 & -1\\ \hline -3 & -2 & -4\\ \hline\end{array}$

What is the largest product you can get?