2171580 has 48 divisors (see below), whose sum is σ = 6441120. Its totient is φ = 544768.

The previous prime is 2171579. The next prime is 2171593. The reversal of 2171580 is 851712.

2171580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2171580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (134190).

2^2171580 is an apocalyptic number.

2171580 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 2171580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220560).

2171580 is an abundant number, since it is smaller than the sum of its proper divisors (4269540).

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

2171580 is a wasteful number, since it uses less digits than its factorization.

2171580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 2171580 is about 1473.6281756264. The cubic root of 2171580 is about 129.4966730907.

The spelling of 2171580 in words is "two million, one hundred seventy-one thousand, five hundred eighty".