The first step for entertaining a 2 year old is to have a plan. Do not wait until the last minute. Prepare a schedule of activities for the toddler and review it every evening. Follow the schedule each day making minor adjustments as necessary. Once the routine is established, you and your 2 year old will experience more enjoyable days.
The daily schedule for a 2 year old should include a list of educational activities which are entertaining, and general routines with estimated time periods. Here is a sample schedule:
Click to view sample schedule: Toddler Daily Schedule