The number of numbers between 2, 000 and 5, 000 that can be formed...

When a number is divisible by $3$, then sum of digits of a number is also divisible by $3$.

Number can be formed from $( 0, 1, 2, 3 )$ or $( 0, 2, 3, 4 )$.

Number of $4$ digits number

$= 3 \times 3 \times 2 \times 1 + 3 \times 3 \times 2 \times 1$

$= 36$.