2712888 has 48 divisors (see below), whose sum is σ = 7534800. Its totient is φ = 881280.

The previous prime is 2712883. The next prime is 2712893. The reversal of 2712888 is 8882172.

It is an interprime number because it is at equal distance from previous prime (2712883) and next prime (2712893).

It is a super-2 number, since 2×2712888² = 14719522601088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2493 + ... + 3411.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

2^2712888 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 2712888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767400).

2712888 is an abundant number, since it is smaller than the sum of its proper divisors (4821912).

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

2712888 is a wasteful number, since it uses less digits than its factorization.

2712888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 965 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 2712888 is about 1647.0846972758. The cubic root of 2712888 is about 139.4688719230.

It can be divided in two parts, 2712 and 888, that added together give a square (3600 = 60²).

The spelling of 2712888 in words is "two million, seven hundred twelve thousand, eight hundred eighty-eight".