Question 547666
Unfortunately the previous answer was slightly wrong. 

Consider that when 0 is the final number, the values available would become
    9 in the thousands place (1,2,3,4...etc)
    8 in the hundreds  place (remove the previously used number and 0)
    7 in the tens      place (remove the two previously used numbers and 0)

Therefore, the possibilities would be 504 for 0, higher than the other values you could have placed.
Considering this, we could assume that the previous answer reflects the number of possibilities that were odd. Therefore we could remove the number of non - repeating possibilities with the non-repeating odd possibilities to find the even possibilities. 

(9 * 9 * 8 *7) - (8 * 8 * 7 * 5)
= 4536 - 2240

I believe that the answer would therefore be 2296.