2713149360 has 120 divisors (see below), whose sum is σ = 9148570704. Its totient is φ = 720576000.

The previous prime is 2713149349. The next prime is 2713149409. The reversal of 2713149360 is 639413172.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2713149360² = 14722358899336819200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173214 + ... + 188226.

Almost surely, 2^2713149360 is an apocalyptic number.

2713149360 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 2713149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574285352).

2713149360 is an abundant number, since it is smaller than the sum of its proper divisors (6435421344).

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

2713149360 is a wasteful number, since it uses less digits than its factorization.

2713149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15283 (or 15274 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2713149360 is about 52087.9003224357. The cubic root of 2713149360 is about 1394.7335059594.

The spelling of 2713149360 in words is "two billion, seven hundred thirteen million, one hundred forty-nine thousand, three hundred sixty".