The result of the expression is 10223388.

Here's the breakdown:

2 + 2 x 4 x 2 x 6 + 8 + 96 x 2324 + 5444
= 2 + 2 x 8 x 2 x 6 + 8 + 223104 + 5444
= 2 + 192 x 2 x 6 + 8 + 223104 + 5444
= 2 + 384 x 6 + 8 + 223104 + 5444
= 2 + 2304 + 8 + 223104 + 5444
= 2314 + 8 + 223104 + 5444
= 2322 + 223104 + 5444
= 225426 + 5444
= 230870