2170920 has 64 divisors (see below), whose sum is σ = 6624000. Its totient is φ = 569088.

The previous prime is 2170919. The next prime is 2170937. The reversal of 2170920 is 290712.

It is a happy number.

2170920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9366 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (103500).

2^2170920 is an apocalyptic number.

2170920 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 2170920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312000).

2170920 is an abundant number, since it is smaller than the sum of its proper divisors (4453080).

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

2170920 is a wasteful number, since it uses less digits than its factorization.

2170920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2170920 is about 1473.4042215224. The cubic root of 2170920 is about 129.4835526187.

The spelling of 2170920 in words is "two million, one hundred seventy thousand, nine hundred twenty".