2558672760 has 64 divisors (see below), whose sum is σ = 8772595200. Its totient is φ = 584839296.

The previous prime is 2558672741. The next prime is 2558672807. The reversal of 2558672760 is 672768552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522180 + ... + 1523859.

It is an arithmetic number, because the mean of its divisors is an integer number (137071800).

Almost surely, 2^2558672760 is an apocalyptic number.

2558672760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558672760 is an abundant number, since it is smaller than the sum of its proper divisors (6213922440).

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

2558672760 is a wasteful number, since it uses less digits than its factorization.

2558672760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046060 (or 3046056 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 2558672760 is about 50583.3249203727. The cubic root of 2558672760 is about 1367.7443051740.

It can be divided in two parts, 25586 and 72760, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 2558672760 in words is "two billion, five hundred fifty-eight million, six hundred seventy-two thousand, seven hundred sixty".