2793125160 has 512 divisors, whose sum is σ = 11429683200. Its totient is φ = 592220160.

The previous prime is 2793125149. The next prime is 2793125183. The reversal of 2793125160 is 615213972.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13237455 + ... + 13237665.

It is an arithmetic number, because the mean of its divisors is an integer number (22323600).

Almost surely, 2^2793125160 is an apocalyptic number.

2793125160 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 2793125160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714841600).

2793125160 is an abundant number, since it is smaller than the sum of its proper divisors (8636558040).

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

2793125160 is a wasteful number, since it uses less digits than its factorization.

2793125160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2793125160 is about 52850.0251655569. The cubic root of 2793125160 is about 1408.3052521818.

The spelling of 2793125160 in words is "two billion, seven hundred ninety-three million, one hundred twenty-five thousand, one hundred sixty".