2712288 has 48 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 855936.

The previous prime is 2712287. The next prime is 2712293. The reversal of 2712288 is 8822172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

2^2712288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2712288 is an abundant number, since it is smaller than the sum of its proper divisors (4787232).

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

2712288 is a wasteful number, since it uses less digits than its factorization.

2712288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 2712288 is about 1646.9025472079. The cubic root of 2712288 is about 139.4585892166.

It can be divided in two parts, 27 and 12288, that multiplied together give a 4-th power (331776 = 24⁴).

The spelling of 2712288 in words is "two million, seven hundred twelve thousand, two hundred eighty-eight".