2568125440 has 88 divisors (see below), whose sum is σ = 6225205392. Its totient is φ = 1016463360.

The previous prime is 2568125423. The next prime is 2568125491. The reversal of 2568125440 is 445218652.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2568125440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494055 + ... + 499225.

Almost surely, 2^2568125440 is an apocalyptic number.

2568125440 is a gapful number since it is divisible by the number (20) 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 2568125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112602696).

2568125440 is an abundant number, since it is smaller than the sum of its proper divisors (3657079952).

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

2568125440 is an equidigital number, since it uses as much as digits as its factorization.

2568125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5293 (or 5275 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 2568125440 is about 50676.6755026413. The cubic root of 2568125440 is about 1369.4265524086.

The spelling of 2568125440 in words is "two billion, five hundred sixty-eight million, one hundred twenty-five thousand, four hundred forty".