Daily budget all included - UK

I did some researches but didn't find a clear answer on this. How much money do I have to plan daily when travelling to the UK - Ireland? All included: food, accomodation (hostel/couchsurfing/airbnb, pick the cheapest), transport and visits.

I'm planning my first solo trip with a 2000€ budget tops and have one free month. I'm living in Caen - France so I can be in England for 40€.

I would love to stay one month but if my budget is too tight I'll have to reduce my stay. I'll be visiting severals cities in the region (don't know which ones yet) so i'll be moving every 4-5 days maybe (I heard bus is kinda cheap).