2478874824 has 96 divisors (see below), whose sum is σ = 7295059200. Its totient is φ = 757537920.

The previous prime is 2478874817. The next prime is 2478874831. The reversal of 2478874824 is 4284788742.

It is an interprime number because it is at equal distance from previous prime (2478874817) and next prime (2478874831).

It is a super-2 number, since 2×2478874824² = 12289640786122061952, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13182 + ... + 71634.

It is an arithmetic number, because the mean of its divisors is an integer number (75990200).

Almost surely, 2^2478874824 is an apocalyptic number.

2478874824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478874824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647529600).

2478874824 is an abundant number, since it is smaller than the sum of its proper divisors (4816184376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2478874824 is a wasteful number, since it uses less digits than its factorization.

2478874824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58515 (or 58508 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The square root of 2478874824 is about 49788.3000714023. The cubic root of 2478874824 is about 1353.3751530564.

The spelling of 2478874824 in words is "two billion, four hundred seventy-eight million, eight hundred seventy-four thousand, eight hundred twenty-four".