2852800752 has 80 divisors (see below), whose sum is σ = 7834677120. Its totient is φ = 891936000.

The previous prime is 2852800721. The next prime is 2852800757. The reversal of 2852800752 is 2570082582.

It is a happy number.

It is a super-2 number, since 2×2852800752² = 16276944261223531008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2852800752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852800757) 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, 76627 + ... + 107597.

It is an arithmetic number, because the mean of its divisors is an integer number (97933464).

Almost surely, 2^2852800752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852800752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917338560).

2852800752 is an abundant number, since it is smaller than the sum of its proper divisors (4981876368).

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

2852800752 is a wasteful number, since it uses less digits than its factorization.

2852800752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31102 (or 31096 counting only the distinct ones).

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

The square root of 2852800752 is about 53411.6162646292. The cubic root of 2852800752 is about 1418.2642204167.

The spelling of 2852800752 in words is "two billion, eight hundred fifty-two million, eight hundred thousand, seven hundred fifty-two".