is it possible to have a polygon with an interior angle sum of 2430 degrees?

If you mean a regular polygon, then the answer is no.  

 

If there are n sides and the exterior angle is θ, then an interior angle is 180°-θ, so we would have to have:

 

θ*n = 360

(180-θ)*n = 2430

so 180*n - 360 = 2430

180*n = 2790

n = 15.5

 

However, a regular 15-sided polygon has an interior angle sum of 2340 degrees.

Repeat the above with 2340 instead of 2430 to find n = 15

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