2712080 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 892416.

The previous prime is 2712077. The next prime is 2712089. The reversal of 2712080 is 802172.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712089) 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 15 ways as a sum of consecutive naturals, for example, 16157 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2712080 is an apocalyptic number.

2712080 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 2712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2712080 is an abundant number, since it is smaller than the sum of its proper divisors (4787440).

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

2712080 is a wasteful number, since it uses less digits than its factorization.

2712080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2712080 is about 1646.8393971484. The cubic root of 2712080 is about 139.4550241910.

The spelling of 2712080 in words is "two million, seven hundred twelve thousand, eighty".