2566054304 has 96 divisors (see below), whose sum is σ = 5651638272. Its totient is φ = 1137024000.

The previous prime is 2566054297. The next prime is 2566054327. The reversal of 2566054304 is 4034506652.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 2726474 + ... + 2727414.

It is an arithmetic number, because the mean of its divisors is an integer number (58871232).

Almost surely, 2^2566054304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825819136).

2566054304 is an abundant number, since it is smaller than the sum of its proper divisors (3085583968).

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

2566054304 is a wasteful number, since it uses less digits than its factorization.

2566054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 2566054304 is about 50656.2365755689. The cubic root of 2566054304 is about 1369.0583160559.

The spelling of 2566054304 in words is "two billion, five hundred sixty-six million, fifty-four thousand, three hundred four".