2164120 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 723840.

The previous prime is 2164111. The next prime is 2164121. The reversal of 2164120 is 214612.

It is a junction number, because it is equal to n+sod(n) for n = 2164094 and 2164103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16455 + ... + 16585.

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

2^2164120 is an apocalyptic number.

2164120 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 2164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2164120 is an abundant number, since it is smaller than the sum of its proper divisors (3538280).

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

2164120 is a wasteful number, since it uses less digits than its factorization.

2164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2164120 is about 1471.0948303899. The cubic root of 2164120 is about 129.3482168958.

Adding to 2164120 its reverse (214612), we get a palindrome (2378732).

The spelling of 2164120 in words is "two million, one hundred sixty-four thousand, one hundred twenty".