2568826260 has 576 divisors, whose sum is σ = 10699153920. Its totient is φ = 481628160.

The previous prime is 2568826243. The next prime is 2568826279. The reversal of 2568826260 is 626288652.

2568826260 is a `hidden beast` number, since 2 + 568 + 8 + 26 + 2 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9549406 + ... + 9549674.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 2^2568826260 is an apocalyptic number.

2568826260 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 2568826260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349576960).

2568826260 is an abundant number, since it is smaller than the sum of its proper divisors (8130327660).

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

2568826260 is a wasteful number, since it uses less digits than its factorization.

2568826260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2568826260 is about 50683.5896518784. The cubic root of 2568826260 is about 1369.5511094383.

It can be divided in two parts, 2568 and 826260, that added together give a palindrome (828828).

The spelling of 2568826260 in words is "two billion, five hundred sixty-eight million, eight hundred twenty-six thousand, two hundred sixty".