2166920 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 725760.

The previous prime is 2166919. The next prime is 2166937. The reversal of 2166920 is 296612.

2166920 = T₂₁₃ + T₂₁₄ + ... + T₂₈₂.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2166920.

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, 19826 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

2^2166920 is an apocalyptic number.

2166920 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 2166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2166920 is an abundant number, since it is smaller than the sum of its proper divisors (3535480).

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

2166920 is a wasteful number, since it uses less digits than its factorization.

2166920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2166920 is about 1472.0461949273. The cubic root of 2166920 is about 129.4039776549.

The spelling of 2166920 in words is "two million, one hundred sixty-six thousand, nine hundred twenty".