2731138960 has 80 divisors (see below), whose sum is σ = 6937145280. Its totient is φ = 991710720.

The previous prime is 2731138951. The next prime is 2731138981. The reversal of 2731138960 is 698311372.

2731138960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754114 + ... + 757726.

It is an arithmetic number, because the mean of its divisors is an integer number (86714316).

Almost surely, 2^2731138960 is an apocalyptic number.

2731138960 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 2731138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468572640).

2731138960 is an abundant number, since it is smaller than the sum of its proper divisors (4206006320).

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

2731138960 is a wasteful number, since it uses less digits than its factorization.

2731138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 2731138960 is about 52260.3000374089. The cubic root of 2731138960 is about 1397.8093221806.

The spelling of 2731138960 in words is "two billion, seven hundred thirty-one million, one hundred thirty-eight thousand, nine hundred sixty".