How to Reduce the size of a .png with in PS for web

I currently have a .png file that is 2042 x 1250 and is 6.1 MB. When I open with photoshop, and do Save As-> PNG 24, and choose the compressed file size of the two options (the other being no compression) I still get an image that is on the order of a few MB, which, since it is going to be a web asset, I would like to be in the KB and not the MB's. How do I go about intelligently compressing this image to a ballpark range of a few thousand KB? Thank you!