2171880 has 64 divisors (see below), whose sum is σ = 7243200. Its totient is φ = 578880.

The previous prime is 2171857. The next prime is 2171881. The reversal of 2171880 is 881712.

2171880 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2171881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (113175).

2^2171880 is an apocalyptic number.

2171880 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 2171880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621600).

2171880 is an abundant number, since it is smaller than the sum of its proper divisors (5071320).

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

2171880 is a wasteful number, since it uses less digits than its factorization.

2171880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2171880 is about 1473.7299616958. The cubic root of 2171880 is about 129.5026360629.

The spelling of 2171880 in words is "two million, one hundred seventy-one thousand, eight hundred eighty".