2. Vasya likes natural numbers that are divisible by each of their non-zero digits, for example, 10 or 122. What is the maximum number of consecutive numbers that Vasya can like?
Solution. Answer: 13.

For example, numbers from 111111111111111111000 to 111111111111111111012 work.

Note that if Vasya likes numbers $x$ and $x+10$, then $x$ cannot have the last digit 3, 6, or 9 (since $x$ and $x+10$ cannot both be divisible by 3). Therefore, more than 13 consecutive numbers cannot exist.