2584727968 has 12 divisors (see below), whose sum is σ = 5088683250. Its totient is φ = 1292363968.

The previous prime is 2584727941. The next prime is 2584727993. The reversal of 2584727968 is 8697274852.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2034731664 + 549996304 = 45108^2 + 23452^2 .

It is a super-2 number, since 2×2584727968² = 13361637337122818048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40386343 + ... + 40386406.

Almost surely, 2^2584727968 is an apocalyptic number.

It is an amenable number.

2584727968 is a deficient number, since it is larger than the sum of its proper divisors (2503955282).

2584727968 is an equidigital number, since it uses as much as digits as its factorization.

2584727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80772759 (or 80772751 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The square root of 2584727968 is about 50840.2199837884. The cubic root of 2584727968 is about 1372.3712584023.

The spelling of 2584727968 in words is "two billion, five hundred eighty-four million, seven hundred twenty-seven thousand, nine hundred sixty-eight".