2170880 has 56 divisors (see below), whose sum is σ = 5308092. Its totient is φ = 851968.

The previous prime is 2170877. The next prime is 2170897. The reversal of 2170880 is 880712.

It can be written as a sum of positive squares in 2 ways, for example, as 2166784 + 4096 = 1472^2 + 64^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40934 + ... + 40986.

2^2170880 is an apocalyptic number.

2170880 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 2170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654046).

2170880 is an abundant number, since it is smaller than the sum of its proper divisors (3137212).

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

2170880 is an frugal number, since it uses more digits than its factorization.

2170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 2170880 is about 1473.3906474523. The cubic root of 2170880 is about 129.4827573531.

The spelling of 2170880 in words is "two million, one hundred seventy thousand, eight hundred eighty".