2579608080 has 160 divisors (see below), whose sum is σ = 10154707200. Its totient is φ = 589621248.

The previous prime is 2579608043. The next prime is 2579608091. The reversal of 2579608080 is 808069752.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70185 + ... + 100424.

It is an arithmetic number, because the mean of its divisors is an integer number (63466920).

Almost surely, 2^2579608080 is an apocalyptic number.

2579608080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579608080 is an abundant number, since it is smaller than the sum of its proper divisors (7575099120).

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

2579608080 is a wasteful number, since it uses less digits than its factorization.

2579608080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170638 (or 170626 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2579608080 is about 50789.8422915449. The cubic root of 2579608080 is about 1371.4645180310.

The spelling of 2579608080 in words is "two billion, five hundred seventy-nine million, six hundred eight thousand, eighty".