2565341856 has 288 divisors, whose sum is σ = 9411292800. Its totient is φ = 643184640.

The previous prime is 2565341843. The next prime is 2565341873. The reversal of 2565341856 is 6581435652.

2565341856 is a `hidden beast` number, since 2 + 56 + 534 + 18 + 56 = 666.

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 47 ways as a sum of consecutive naturals, for example, 641110 + ... + 645098.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^2565341856 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 2565341856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2565341856 is an abundant number, since it is smaller than the sum of its proper divisors (6845950944).

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

2565341856 is a wasteful number, since it uses less digits than its factorization.

2565341856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4041 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 2565341856 is about 50649.2039029243. The cubic root of 2565341856 is about 1368.9316010001.

The spelling of 2565341856 in words is "two billion, five hundred sixty-five million, three hundred forty-one thousand, eight hundred fifty-six".