Smallest Factorizaiton

The number $1234567890$ is not prime, so it can be written in the form $ab$ for two positive integers $a$ and $b$. Find $a^* + b^*$, where $a^*$ and $b^*$ satisfy $a^*b^* = 1234567890$ and for any other pair $(a,b)$ such that $ab = 1234567890$, $|a-b| \geq |a^* - b^*|$. It may be helpful to consider the prime factorization.