2851125760 has 320 divisors, whose sum is σ = 8485171200. Its totient is φ = 915210240.

The previous prime is 2851125751. The next prime is 2851125791. The reversal of 2851125760 is 675211582.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14927265 + ... + 14927455.

It is an arithmetic number, because the mean of its divisors is an integer number (26516160).

Almost surely, 2^2851125760 is an apocalyptic number.

2851125760 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 2851125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242585600).

2851125760 is an abundant number, since it is smaller than the sum of its proper divisors (5634045440).

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

2851125760 is an equidigital number, since it uses as much as digits as its factorization.

2851125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 2851125760 is about 53395.9339275941. The cubic root of 2851125760 is about 1417.9865930937.

The spelling of 2851125760 in words is "two billion, eight hundred fifty-one million, one hundred twenty-five thousand, seven hundred sixty".