I will arrive Capital Airport T2 at 5am, while shuttle bus will only depart from airport at 9am.

Upon landing, you can take the airport express from PEK to Dongzhimen Station first. The operating hours are from 06:22 to 22:52 in T3 and 06:36 to 23:10 in T2. It costs CNY 25 per person and the duration is around half an hour. After arriving, take a taxi to your hotel directly. The cab fare is around CNY 20.