My ps4 died so I got a new one. I put in my D2 disk and it downloaded everything but when I start game it says transferring files and it is stuck on 35% and doesnt seem to be doing anything. At least for 2 hours. I'm doing original D2 disk if that helps.
This happened to me for destiny one, all you need to do is carefully clean this disc with a slightly damp cloth on the shiny side maybe wait a minute or 2 and then it should be good to go.
You might want to look at all the forums before getting into D2. Bungie is on a path of finishing off Destiny 2. Just an observation. Best of luck