2731112160 has 192 divisors, whose sum is σ = 9957427200. Its totient is φ = 616292352.

The previous prime is 2731112129. The next prime is 2731112173. The reversal of 2731112160 is 612111372.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2731112160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260296 + ... + 270584.

It is an arithmetic number, because the mean of its divisors is an integer number (51861600).

Almost surely, 2^2731112160 is an apocalyptic number.

2731112160 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 2731112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978713600).

2731112160 is an abundant number, since it is smaller than the sum of its proper divisors (7226315040).

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

2731112160 is a wasteful number, since it uses less digits than its factorization.

2731112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10385 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2731112160 is about 52260.0436279956. The cubic root of 2731112160 is about 1397.8047500451.

The spelling of 2731112160 in words is "two billion, seven hundred thirty-one million, one hundred twelve thousand, one hundred sixty".