2568628880 has 80 divisors (see below), whose sum is σ = 6044814000. Its totient is φ = 1015019520.

The previous prime is 2568628859. The next prime is 2568628883. The reversal of 2568628880 is 888268652.

2568628880 = T₁₉₉ + T₂₀₀ + ... + T₂₄₈₈.

It can be written as a sum of positive squares in 8 ways, for example, as 2598544 + 2566030336 = 1612^2 + 50656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2568628883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2729210 + ... + 2730150.

It is an arithmetic number, because the mean of its divisors is an integer number (75560175).

Almost surely, 2^2568628880 is an apocalyptic number.

2568628880 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 2568628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022407000).

2568628880 is an abundant number, since it is smaller than the sum of its proper divisors (3476185120).

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

2568628880 is a wasteful number, since it uses less digits than its factorization.

2568628880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 53.

The square root of 2568628880 is about 50681.6424358959. The cubic root of 2568628880 is about 1369.5160313009.

The spelling of 2568628880 in words is "two billion, five hundred sixty-eight million, six hundred twenty-eight thousand, eight hundred eighty".