2568960000 has 360 divisors, whose sum is σ = 9313143840. Its totient is φ = 681984000.

The previous prime is 2568959963. The next prime is 2568960007. The reversal of 2568960000 is 698652.

2568960000 is a `hidden beast` number, since 2 + 568 + 96 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568960007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519889 + ... + 11520111.

It is an arithmetic number, because the mean of its divisors is an integer number (25869844).

Almost surely, 2^2568960000 is an apocalyptic number.

2568960000 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 2568960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656571920).

2568960000 is an abundant number, since it is smaller than the sum of its proper divisors (6744183840).

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

2568960000 is an equidigital number, since it uses as much as digits as its factorization.

2568960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2568960000 is about 50684.9089966629. The cubic root of 2568960000 is about 1369.5748765299.

The spelling of 2568960000 in words is "two billion, five hundred sixty-eight million, nine hundred sixty thousand".