2559066400 has 72 divisors (see below), whose sum is σ = 6815282544. Its totient is φ = 930566400.

The previous prime is 2559066397. The next prime is 2559066421. The reversal of 2559066400 is 46609552.

It is a self number, because there is not a number n which added to its sum of digits gives 2559066400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136602 + ... + 154201.

It is an arithmetic number, because the mean of its divisors is an integer number (94656702).

Almost surely, 2^2559066400 is an apocalyptic number.

2559066400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2559066400 is an abundant number, since it is smaller than the sum of its proper divisors (4256216144).

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

2559066400 is a wasteful number, since it uses less digits than its factorization.

2559066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290834 (or 290821 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 2559066400 is about 50587.2157763204. The cubic root of 2559066400 is about 1367.8144419612.

The spelling of 2559066400 in words is "two billion, five hundred fifty-nine million, sixty-six thousand, four hundred".