2568360960 has 440 divisors, whose sum is σ = 10058073696. Its totient is φ = 621527040.

The previous prime is 2568360947. The next prime is 2568360961. The reversal of 2568360960 is 690638652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568360961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561639 + ... + 4562201.

Almost surely, 2^2568360960 is an apocalyptic number.

2568360960 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 2568360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029036848).

2568360960 is an abundant number, since it is smaller than the sum of its proper divisors (7489712736).

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

2568360960 is a wasteful number, since it uses less digits than its factorization.

2568360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2568360960 is about 50678.9992008524. Note that the first 3 decimals coincide. The cubic root of 2568360960 is about 1369.4684140038.

The spelling of 2568360960 in words is "two billion, five hundred sixty-eight million, three hundred sixty thousand, nine hundred sixty".