SE-SKOLORNAS 2020 Problem 1

How many of the numbers $1\cdot 2\cdot 3$ , $2\cdot 3\cdot 4$ ,..., $2020 \cdot 2021 \cdot 2022$ are divisible by $2020$ ?

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.