I am wondering if the 2-Category of groupoids is Locally Presentable? Locally presentable means the category is accessible and co-complete.
Edit: It has been pointed out that the category of Groupoids is Locally Preseantable. It would be useful if I could find a theorem that says that if your base category, namely groupoids, was LP, then so is the 2-category on that base. I have done a bit of research and I cannot find anything to that effect. I still cannot say if the 2-category of Groupoids is LP.