2713680 has 60 divisors (see below), whose sum is σ = 9115860. Its totient is φ = 723456.

The previous prime is 2713679. The next prime is 2713703. The reversal of 2713680 is 863172.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 1065024 = 1284^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165 + ... + 2604.

It is an arithmetic number, because the mean of its divisors is an integer number (151931).

2^2713680 is an apocalyptic number.

2713680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2713680 is an abundant number, since it is smaller than the sum of its proper divisors (6402180).

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

2713680 is a wasteful number, since it uses less digits than its factorization.

2713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2713680 is about 1647.3251045255. The cubic root of 2713680 is about 139.4824427744.

The spelling of 2713680 in words is "two million, seven hundred thirteen thousand, six hundred eighty".