2713140 has 36 divisors (see below), whose sum is σ = 8230404. Its totient is φ = 723456.

The previous prime is 2713133. The next prime is 2713157. The reversal of 2713140 is 413172.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1572516 = 1068^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2713140² = 14722257319200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7357 + ... + 7716.

2^2713140 is an apocalyptic number.

2713140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2713140 is an abundant number, since it is smaller than the sum of its proper divisors (5517264).

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

2713140 is a wasteful number, since it uses less digits than its factorization.

2713140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15088 (or 15083 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2713140 is about 1647.1611942976. The cubic root of 2713140 is about 139.4731902077.

Subtracting from 2713140 its reverse (413172), we obtain a cube (2299968 = 132³).

The spelling of 2713140 in words is "two million, seven hundred thirteen thousand, one hundred forty".