2852722800 has 270 divisors, whose sum is σ = 10289434688. Its totient is φ = 760026240.

The previous prime is 2852722799. The next prime is 2852722811. The reversal of 2852722800 is 82272582.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2623857 + ... + 2624943.

Almost surely, 2^2852722800 is an apocalyptic number.

2852722800 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 2852722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144717344).

2852722800 is an abundant number, since it is smaller than the sum of its proper divisors (7436711888).

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

2852722800 is an equidigital number, since it uses as much as digits as its factorization.

2852722800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2852722800 is about 53410.8865307439. The cubic root of 2852722800 is about 1418.2513024051.

The spelling of 2852722800 in words is "two billion, eight hundred fifty-two million, seven hundred twenty-two thousand, eight hundred".