2. In the horizontal equation $\overline{A B C} \times \overline{A B}+C \times D=2017$, the same letter represents the same digit, and different letters represent different digits. If the equation holds, then the two-digit number $\overline{\mathrm{AB}}$ is $\qquad$ .
【Answer】Solution: Since $0<C \times D<100$, we have $1900<\overline{\mathrm{ABC}} \times \overline{\mathrm{AB}}<2017$. Because $130 \times 13=1690, 140 \times 14=1960, 150 \times 15=2250$, we get $\overline{\mathrm{AB}}=14$. Further, we can derive $C \times(14+D)=57, C=3, D=5$. Therefore, the answer is 14.