A furniture store has a sale during which the sale price of a sofa is ¼ off its original price. The original price of the sofa is $2400. A customer can get an additional 5% discount sale off the price for paying with cash. At checkout, a 7.5% sales tax on the final price is added to the cost of the sofa. What is the total cost of the sofa, including sales tax, for a customer paying with cash?