2568838272 has 512 divisors, whose sum is σ = 9442621440. Its totient is φ = 597196800.

The previous prime is 2568838267. The next prime is 2568838303. The reversal of 2568838272 is 2728388652.

Its product of digits (2580480) is a multiple of the sum of its prime divisors (240).

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 63 ways as a sum of consecutive naturals, for example, 15759663 + ... + 15759825.

It is an arithmetic number, because the mean of its divisors is an integer number (18442620).

Almost surely, 2^2568838272 is an apocalyptic number.

2568838272 is a gapful number since it is divisible by the number (22) 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 2568838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721310720).

2568838272 is an abundant number, since it is smaller than the sum of its proper divisors (6873783168).

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

2568838272 is a wasteful number, since it uses less digits than its factorization.

2568838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2568838272 is about 50683.7081516339. The cubic root of 2568838272 is about 1369.5532441386.

The spelling of 2568838272 in words is "two billion, five hundred sixty-eight million, eight hundred thirty-eight thousand, two hundred seventy-two".