2568042720 has 288 divisors, whose sum is σ = 9087126048. Its totient is φ = 659902464.

The previous prime is 2568042707. The next prime is 2568042727. The reversal of 2568042720 is 272408652.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568042727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8364807 + ... + 8365113.

It is an arithmetic number, because the mean of its divisors is an integer number (31552521).

Almost surely, 2^2568042720 is an apocalyptic number.

2568042720 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 2568042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543563024).

2568042720 is an abundant number, since it is smaller than the sum of its proper divisors (6519083328).

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

2568042720 is a wasteful number, since it uses less digits than its factorization.

2568042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2568042720 is about 50675.8593415050. The cubic root of 2568042720 is about 1369.4118490536.

The spelling of 2568042720 in words is "two billion, five hundred sixty-eight million, forty-two thousand, seven hundred twenty".