The total number of 4-digit number whose greatest common divisor with 54 is 2, is
__________.

$54={2.3}^3$
N be the 4-digit number which should be divisible by 2 but not by 3
number of numbers divisible 2=9000/2=4500
number of numbers divisible by 6= 9000/6=1500
Required 4-digit number=number of numbers divisible 2
– number of numbers divisible by 6
=4500-1500=3000