2568286560 has 192 divisors, whose sum is σ = 9789921792. Its totient is φ = 552493056.

The previous prime is 2568286549. The next prime is 2568286613. The reversal of 2568286560 is 656828652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34639 + ... + 79601.

It is an arithmetic number, because the mean of its divisors is an integer number (50989176).

Almost surely, 2^2568286560 is an apocalyptic number.

2568286560 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 2568286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894960896).

2568286560 is an abundant number, since it is smaller than the sum of its proper divisors (7221635232).

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

2568286560 is a wasteful number, since it uses less digits than its factorization.

2568286560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 44997 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2568286560 is about 50678.2651636774. The cubic root of 2568286560 is about 1369.4551903389.

The spelling of 2568286560 in words is "two billion, five hundred sixty-eight million, two hundred eighty-six thousand, five hundred sixty".