Uncle Chuck's Chicken Sandwich operates $360$ days per year and uses a periodic system to make inventory decisions for fries. Daily demand has been forecast to be $600$ units and the standard deviation of daily demand is $250$ units. The order interval is $9$ days and the order lead time is $8$ days. Uncle Chuck's Chicken Sandwich desires to maintain a service level of $98\%$ for this item.

If the on$-$hand inventory is $2,500,$ what is the order quantity? Round your answer to a whole number.