What are the next two numbers in this pattern 2 -8 32 -128?

The pattern alternates between multiplying by -4 and then by 4. Starting with 2, we multiply by -4 to get -8, then multiply by -4 again to get 32, and then by -4 to get -128. Continuing this pattern, the next number is -128 multiplied by -4, which equals 512, and then 512 multiplied by 4 gives 2048. Thus, the next two numbers in the pattern are 512 and 2048.