2568972672 has 576 divisors, whose sum is σ = 9636307200. Its totient is φ = 665127936.

The previous prime is 2568972661. The next prime is 2568972683. The reversal of 2568972672 is 2762798652.

2568972672 is a `hidden beast` number, since 2 + 568 + 9 + 7 + 2 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2568972661) and next prime (2568972683).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111694453 + ... + 111694475.

It is an arithmetic number, because the mean of its divisors is an integer number (16729700).

Almost surely, 2^2568972672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2568972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818153600).

2568972672 is an abundant number, since it is smaller than the sum of its proper divisors (7067334528).

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

2568972672 is an frugal number, since it uses more digits than its factorization.

2568972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 2568972672 is about 50685.0340041318. The cubic root of 2568972672 is about 1369.5771284430.

The spelling of 2568972672 in words is "two billion, five hundred sixty-eight million, nine hundred seventy-two thousand, six hundred seventy-two".