2712864 has 96 divisors (see below), whose sum is σ = 8902656. Its totient is φ = 702720.

The previous prime is 2712859. The next prime is 2712883. The reversal of 2712864 is 4682172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7209 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (92736).

2^2712864 is an apocalyptic number.

2712864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451328).

2712864 is an abundant number, since it is smaller than the sum of its proper divisors (6189792).

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

2712864 is a wasteful number, since it uses less digits than its factorization.

2712864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2712864 is about 1647.0774116598. The cubic root of 2712864 is about 139.4684606439.

The spelling of 2712864 in words is "two million, seven hundred twelve thousand, eight hundred sixty-four".