2. (2 points) In the quarry, there was a pile of 20160000 sand grains. A truck carried away from the quarry a quantity of sand grains per trip, which was some power of 9 (including possibly $9^{0}=1$). Could it have carried away the entire pile of sand in exactly 2000 trips?
Answer: Yes.

Solution: $20160000=2240000 \cdot 9=248888 \cdot 9^{2}+8 \cdot 9=27654 \cdot 9^{3}+2 \cdot 9^{2}+8 \cdot 9==3072 \cdot 9^{4}+6 \cdot 9^{3}+2 \cdot 9^{2}+8 \cdot 9=$ $341 \cdot 9^{5}+3 \cdot 9^{4}+6 \cdot 9^{3}+2 \cdot 9^{2}+8 \cdot 9==37 \cdot 9^{6}+8 \cdot 9^{5}+3 \cdot 9^{4}+6 \cdot 9^{3}+2 \cdot 9^{2}+8 \cdot 9=4 \cdot 9^{7}+1 \cdot 9^{6}+8 \cdot 9^{5}+3 \cdot 9^{4}+6 \cdot 9^{3}+2 \cdot 9^{2}+8 \cdot 9=$.

This means that we have found a way to transport all the sand in 32 trips. If one of them is replaced by 9, in which 9 times less sand is transported, the number of trips will increase by 8. By performing such an operation 246 times, we will turn 32 trips into 2000. Obviously, this operation of adding 8 trips can always be performed, as it can only not be done if in each trip exactly one grain of sand is already being transported, that is, the number of trips $20160000>2000$.