2568766200 has 864 divisors, whose sum is σ = 11175356160. Its totient is φ = 482227200.

The previous prime is 2568766183. The next prime is 2568766219. The reversal of 2568766200 is 26678652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 54654577 + ... + 54654623.

It is an arithmetic number, because the mean of its divisors is an integer number (12934440).

Almost surely, 2^2568766200 is an apocalyptic number.

2568766200 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 2568766200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587678080).

2568766200 is an abundant number, since it is smaller than the sum of its proper divisors (8606589960).

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

2568766200 is a wasteful number, since it uses less digits than its factorization.

2568766200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2568766200 is about 50682.9971489453. The cubic root of 2568766200 is about 1369.5404358372.

The spelling of 2568766200 in words is "two billion, five hundred sixty-eight million, seven hundred sixty-six thousand, two hundred".