2712640 has 84 divisors (see below), whose sum is σ = 7557516. Its totient is φ = 924672.

The previous prime is 2712637. The next prime is 2712641. The reversal of 2712640 is 462172.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 906304 = 1344^2 + 952^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2712641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15594 + ... + 15766.

2^2712640 is an apocalyptic number.

2712640 is a gapful number since it is divisible by the number (20) 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 2712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778758).

2712640 is an abundant number, since it is smaller than the sum of its proper divisors (4844876).

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

2712640 is a wasteful number, since it uses less digits than its factorization.

2712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2712640 is about 1647.0094110235. The cubic root of 2712640 is about 139.4646219215.

The spelling of 2712640 in words is "two million, seven hundred twelve thousand, six hundred forty".