2578262401 has 16 divisors (see below), whose sum is σ = 3032346240. Its totient is φ = 2161192320.

The previous prime is 2578262389. The next prime is 2578262447. The reversal of 2578262401 is 1042628752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2578262401 - 2⁷ = 2578262273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2578262461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126820 + ... + 145738.

It is an arithmetic number, because the mean of its divisors is an integer number (189521640).

Almost surely, 2^2578262401 is an apocalyptic number.

It is an amenable number.

2578262401 is a deficient number, since it is larger than the sum of its proper divisors (454083839).

2578262401 is a wasteful number, since it uses less digits than its factorization.

2578262401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2578262401 is about 50776.5930424640. The cubic root of 2578262401 is about 1371.2259970421.

The spelling of 2578262401 in words is "two billion, five hundred seventy-eight million, two hundred sixty-two thousand, four hundred one".