2180580 has 24 divisors (see below), whose sum is σ = 6105792. Its totient is φ = 581472.

The previous prime is 2180569. The next prime is 2180587. The reversal of 2180580 is 850812.

2180580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2180580³ = 31105510128753336000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2180580.

It is not an unprimeable number, because it can be changed into a prime (2180587) 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, 18112 + ... + 18231.

It is an arithmetic number, because the mean of its divisors is an integer number (254408).

2^2180580 is an apocalyptic number.

2180580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2180580 is an abundant number, since it is smaller than the sum of its proper divisors (3925212).

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

2180580 is a wasteful number, since it uses less digits than its factorization.

2180580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36355 (or 36353 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2180580 is about 1476.6787057448. The cubic root of 2180580 is about 129.6753239161.

It can be divided in two parts, 21 and 80580, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 2180580 in words is "two million, one hundred eighty thousand, five hundred eighty".