2712896 has 56 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 1216512.

The previous prime is 2712893. The next prime is 2712923. The reversal of 2712896 is 6982172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712893) 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, 27920 + ... + 28016.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

2^2712896 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 2712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987040).

2712896 is an abundant number, since it is smaller than the sum of its proper divisors (3261184).

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

2712896 is a wasteful number, since it uses less digits than its factorization.

2712896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 2712896 is about 1647.0871258073. The cubic root of 2712896 is about 139.4690090156.

The spelling of 2712896 in words is "two million, seven hundred twelve thousand, eight hundred ninety-six".