2832080 has 20 divisors (see below), whose sum is σ = 6584772. Its totient is φ = 1132800.

The previous prime is 2832077. The next prime is 2832097. The reversal of 2832080 is 802382.

2832080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 781456 + 2050624 = 884^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17621 + ... + 17780.

2^2832080 is an apocalyptic number.

2832080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2832080 is an abundant number, since it is smaller than the sum of its proper divisors (3752692).

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

2832080 is a wasteful number, since it uses less digits than its factorization.

2832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35414 (or 35408 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2832080 is about 1682.8784864036. The cubic root of 2832080 is about 141.4822113012.

The spelling of 2832080 in words is "two million, eight hundred thirty-two thousand, eighty".