2712384 has 84 divisors (see below), whose sum is σ = 8261604. Its totient is φ = 847872.

The previous prime is 2712379. The next prime is 2712389. The reversal of 2712384 is 4832172.

It is an interprime number because it is at equal distance from previous prime (2712379) and next prime (2712389).

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 1440000 = 1128^2 + 1200^2 .

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 (2712389) 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, 9654 + ... + 9930.

2^2712384 is an apocalyptic number.

2712384 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 2712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130802).

2712384 is an abundant number, since it is smaller than the sum of its proper divisors (5549220).

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

2712384 is a wasteful number, since it uses less digits than its factorization.

2712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2712384 is about 1646.9316925726. The cubic root of 2712384 is about 139.4602345515.

The spelling of 2712384 in words is "two million, seven hundred twelve thousand, three hundred eighty-four".