I am arriving Guangzhou Airport at 2.10 am. Is there any airport bus to hotel in Haizhu District?

Well, according to your arrival time, there is no shuttle bus that can take you to Haizhu District directly. You can take shuttle bus line 1 and get off at Aviation Ticket Office (near the Main Railway Station) first. The service hours will until the arrival of the last flight. After arriving, you can take a cab to your hotel directly.