To prevent any issues with note exchange, the RBI has published a frequently asked questions document. In it, all conceivable queries have been addressed.
There are no restrictions on the deposit of 2000 rupee notes into a bank account. Following this, you can withdraw money as needed for your business or other purposes.
In November 2016, the Rs 2000 note was released in accordance with Section 24(1) of the RBI Act 1934 and have reached the end of their 4-5-year lifespan.