2568867840 has 624 divisors, whose sum is σ = 11162825856. Its totient is φ = 530841600.

The previous prime is 2568867817. The next prime is 2568867853. The reversal of 2568867840 is 487688652.

2568867840 is a `hidden beast` number, since 2 + 568 + 8 + 6 + 78 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 14192550 + ... + 14192730.

It is an arithmetic number, because the mean of its divisors is an integer number (17889144).

Almost surely, 2^2568867840 is an apocalyptic number.

2568867840 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 2568867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581412928).

2568867840 is an abundant number, since it is smaller than the sum of its proper divisors (8593958016).

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

2568867840 is a wasteful number, since it uses less digits than its factorization.

2568867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2568867840 is about 50683.9998421593. Note that the first 3 decimals coincide. The cubic root of 2568867840 is about 1369.5584987570.

It can be divided in two parts, 25688 and 67840, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 2568867840 in words is "two billion, five hundred sixty-eight million, eight hundred sixty-seven thousand, eight hundred forty".