2590624968 has 64 divisors (see below), whose sum is σ = 6864730560. Its totient is φ = 811892736.

The previous prime is 2590624963. The next prime is 2590624969. The reversal of 2590624968 is 8694260952.

It is a super-2 number, since 2×2590624968² = 13422675449650002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2590624968.

It is not an unprimeable number, because it can be changed into a prime (2590624961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467671 + ... + 473177.

It is an arithmetic number, because the mean of its divisors is an integer number (107261415).

Almost surely, 2^2590624968 is an apocalyptic number.

It is an amenable number.

2590624968 is an abundant number, since it is smaller than the sum of its proper divisors (4274105592).

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

2590624968 is a wasteful number, since it uses less digits than its factorization.

2590624968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 2590624968 is about 50898.1823644028. The cubic root of 2590624968 is about 1373.4141439760.

The spelling of 2590624968 in words is "two billion, five hundred ninety million, six hundred twenty-four thousand, nine hundred sixty-eight".