2164320 has 120 divisors (see below), whose sum is σ = 7683984. Its totient is φ = 573696.

The previous prime is 2164313. The next prime is 2164367. The reversal of 2164320 is 234612.

It is a happy number.

2164320 is a `hidden beast` number, since 2 + 1 + 643 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2164293 and 2164302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12877 + ... + 13043.

2^2164320 is an apocalyptic number.

2164320 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 2164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992).

2164320 is an abundant number, since it is smaller than the sum of its proper divisors (5519664).

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

2164320 is a wasteful number, since it uses less digits than its factorization.

2164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2164320 is about 1471.1628054026. The cubic root of 2164320 is about 129.3522014017.

Adding to 2164320 its reverse (234612), we get a palindrome (2398932).

The spelling of 2164320 in words is "two million, one hundred sixty-four thousand, three hundred twenty".