Hi Peter,
Unfortunately, currently albums do not have limit for photo uploads.
As for photo names, you can actually edit the name when you edit the photo(http://take.ms/G1yJF).
However, if you want to remove it completely, you can template override this file: JoomlaFolder/components/com_easysocial/themes/wireframe/photos/info.php(http://take.ms/ZGnp0).

Thanks Raimund,

I am a little bit confused.

Photo Upload is Ok and no problem at all. But the number of photos shown at the same time should be limited. Let’s say 10 Photos at at time and so on. User should allways cklick further button to see more photos.

For e.g. Assume you have 5000 Photos in one album. If photos would be displayed all at once, no internet connection would handle this in an appropriate time.

Hey Peter,
Yes it looks like the photo widget in the photo item page does not have a limit, therefore showing all photos in the album.
Since this can potentially lead to loading issues when the album has a lot of photos, I will log this in our tracker to see what we can do in the future about this.