2852572800 has 768 divisors, whose sum is σ = 12457774080. Its totient is φ = 555417600.

The previous prime is 2852572759. The next prime is 2852572841. The reversal of 2852572800 is 82752582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2852572759) and next prime (2852572841).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12566287 + ... + 12566513.

It is an arithmetic number, because the mean of its divisors is an integer number (16221060).

Almost surely, 2^2852572800 is an apocalyptic number.

2852572800 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 2852572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228887040).

2852572800 is an abundant number, since it is smaller than the sum of its proper divisors (9605201280).

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

2852572800 is a wasteful number, since it uses less digits than its factorization.

2852572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2852572800 is about 53409.4823041752. The cubic root of 2852572800 is about 1418.2264441160.

The spelling of 2852572800 in words is "two billion, eight hundred fifty-two million, five hundred seventy-two thousand, eight hundred".