A positive integer number $N{}$ is divisible by 2020. All its digits are different and if any two of them are swapped, the resulting number is not divisible by 2020. How many digits can such a number $N{}$ have? Sergey Tokarev
Problem
Source: 42nd International Tournament of Towns, Senior O-Level P3, Fall 2020
Tags: number theory, Divisibility, Tournament of Towns