2566859904 has 288 divisors, whose sum is σ = 8831756700. Its totient is φ = 712986624.

The previous prime is 2566859839. The next prime is 2566859921. The reversal of 2566859904 is 4099586652.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1835265600 + 731594304 = 42840^2 + 27048^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2087962 + ... + 2089190.

Almost surely, 2^2566859904 is an apocalyptic number.

2566859904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566859904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415878350).

2566859904 is an abundant number, since it is smaller than the sum of its proper divisors (6264896796).

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

2566859904 is a wasteful number, since it uses less digits than its factorization.

2566859904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 2566859904 is about 50664.1875884732. The cubic root of 2566859904 is about 1369.2015707511.

The spelling of 2566859904 in words is "two billion, five hundred sixty-six million, eight hundred fifty-nine thousand, nine hundred four".