2556400466 has 32 divisors (see below), whose sum is σ = 4109833728. Its totient is φ = 1188357120.

The previous prime is 2556400459. The next prime is 2556400501. The reversal of 2556400466 is 6640046552.

2556400466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 2076071 + ... + 2077301.

It is an arithmetic number, because the mean of its divisors is an integer number (128432304).

Almost surely, 2^2556400466 is an apocalyptic number.

2556400466 is a deficient number, since it is larger than the sum of its proper divisors (1553433262).

2556400466 is a wasteful number, since it uses less digits than its factorization.

2556400466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2556400466 is about 50560.8590314682. The cubic root of 2556400466 is about 1367.3392986276.

The spelling of 2556400466 in words is "two billion, five hundred fifty-six million, four hundred thousand, four hundred sixty-six".