2568528300 has 288 divisors, whose sum is σ = 8924428800. Its totient is φ = 563466240.

The previous prime is 2568528299. The next prime is 2568528301. The reversal of 2568528300 is 38258652.

It is an interprime number because it is at equal distance from previous prime (2568528299) and next prime (2568528301).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2568528301) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1258681 + ... + 1260719.

It is an arithmetic number, because the mean of its divisors is an integer number (30987600).

Almost surely, 2^2568528300 is an apocalyptic number.

2568528300 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 2568528300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462214400).

2568528300 is an abundant number, since it is smaller than the sum of its proper divisors (6355900500).

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

2568528300 is a wasteful number, since it uses less digits than its factorization.

2568528300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2568528300 is about 50680.6501536829. The cubic root of 2568528300 is about 1369.4981556524.

The spelling of 2568528300 in words is "two billion, five hundred sixty-eight million, five hundred twenty-eight thousand, three hundred".