Raze_Larian: If you check the Event Viewer, does that give an error code or 'Faulting Module' file name that might help identify the cause of the crash?
- click Start (or WinKey-R), then type "event viewer" into the search box. in Windows 10, 'event' should bring up 'View event logs'.
- after starting the Event Viewer, expand 'Windows Logs' in the left column and select 'Application'
- in the center column, look for a recent error (maybe sort by Date and Time) for the game
- check the information under the 'General' tab below the list of events, starting with "Faulting application name..."

Are you shutting down all non-essential programs (especially anti-virus) before starting the game? Firewalls have also caused conflicts.

Try renaming the intro.wmv and loading.wmv videos in the '..\Divinity II - Developers Cut\Data\Video' folder. That may avoid a startup crash.

When starting the game from the executable, did you try Divinity2.exe (normal mode) and Divinity2-debug.exe (with the optional 'Developer Mode' cheat menu)?

Try the 4GB Patch to increase the amount of virtual memory that the game (or any 32 bit application) can access in 64 bit versions of Windows. That can also help with startup crashes.

You could try uninstalling the latest version of PhysX and rebooting, then install the version that comes with the game. If that gets it to start, you would probably be able to update the the latest version of PhysX again, if you need it for other games.

You could try setting a lower game resolution manually by editing the file below in a text editor, and/or put the game into windowed mode (unsupported) by changing the one to a zero in Fullscreen="1".
C:\Users\<UserName>\AppData\Local\Divinity 2\Profile\graphicoptions.xml

The easiest way to get to that folder would probably be to copy the following into the location bar in Windows Explorer.
%LocalAppData%\Divinity 2\Profile

To browse there, you may need to set Windows Explorer to show hidden files and folders (covers Vista through Win 10):

If that doesn't help, check out the suggestions and links in the discussions / topics below:

Game won't start

Game won't start, I need help desperately

Divinity II Crashing on Startup (avoided by using DxWnd; the problem didn't reoccur after they switched to using a monitor, rather than a TV)