2712138 has 64 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 725760.

The previous prime is 2712133. The next prime is 2712161. The reversal of 2712138 is 8312172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24828 + ... + 24936.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

2^2712138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2712138 is an abundant number, since it is smaller than the sum of its proper divisors (3940662).

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

2712138 is a wasteful number, since it uses less digits than its factorization.

2712138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 672, while the sum is 24.

The square root of 2712138 is about 1646.8570065431. The cubic root of 2712138 is about 139.4560183030.

It can be divided in two parts, 2712 and 138, that added together give a triangular number (2850 = T₇₅).

The spelling of 2712138 in words is "two million, seven hundred twelve thousand, one hundred thirty-eight".