2565881024 has 112 divisors (see below), whose sum is σ = 6167810880. Its totient is φ = 1035632640.

The previous prime is 2565880991. The next prime is 2565881041. The reversal of 2565881024 is 4201885652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530264 + ... + 535080.

It is an arithmetic number, because the mean of its divisors is an integer number (55069740).

Almost surely, 2^2565881024 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 2565881024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083905440).

2565881024 is an abundant number, since it is smaller than the sum of its proper divisors (3601929856).

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

2565881024 is a wasteful number, since it uses less digits than its factorization.

2565881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 2565881024 is about 50654.5261946057. The cubic root of 2565881024 is about 1369.0274988638.

The spelling of 2565881024 in words is "two billion, five hundred sixty-five million, eight hundred eighty-one thousand, twenty-four".