For any positive integer number k, the factorial k! is defined as a product of all integers between 1 and k inclusive: k!=k×(k−1)×⋯×1. Let s(n) denote the sum of the first n factorials, i.e. s(n)=n×(n−1)×⋯×1⏟n!+(n−1)×(n−2)×⋯×1⏟(n−1)!+⋯+2×1⏟2!+1⏟1!Find the remainder when s(2024) is divided by 8