2. (10 points) The figure below shows a vertical subtraction of two two-digit numbers, where $A, B, C, D$ represent different digits. When the minuend $\overline{\mathrm{AB}}$ takes the maximum value, $A \times B+(C+E) \times(D+F)=$ $\qquad$
$$
\begin{array}{r}
A B \\
-C D \\
\hline E F
\end{array}
$$
【Analysis】According to the problem, $A, B, C, D$ represent different numbers. When the minuend $\overline{\mathrm{AB}}$ takes the maximum value, it can be 98, so this problem belongs to subtraction without borrowing, then $F+D=B=8, C+E=A=9$, according to this, the problem can be solved.

【Solution】Solution: $A, B, C, D$ represent different numbers. When the minuend $\overline{\mathrm{AB}}$ takes the maximum value, it can be 98, so $C$ and $D$ are both numbers less than 8, then $F+D=B=8, C+E=A=9$, so $A \times B+(C+E) \times(D+F)=9 \times 8+9 \times 8=72+72=144$, hence the answer is: 144.