2712768 has 56 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 887040.

The previous prime is 2712767. The next prime is 2712769. The reversal of 2712768 is 8672172.

It is an interprime number because it is at equal distance from previous prime (2712767) and next prime (2712769).

It is a super-2 number, since 2×2712768² = 14718220443648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2712767) 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, 13533 + ... + 13731.

2^2712768 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 2712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2712768 is an abundant number, since it is smaller than the sum of its proper divisors (4602432).

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

2712768 is a wasteful number, since it uses less digits than its factorization.

2712768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2712768 is about 1647.0482688737. The cubic root of 2712768 is about 139.4668155031.

The spelling of 2712768 in words is "two million, seven hundred twelve thousand, seven hundred sixty-eight".