2122164 has 72 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 612480.

The previous prime is 2122163. The next prime is 2122181. The reversal of 2122164 is 4612212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8992 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2^2122164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2122164 is an abundant number, since it is smaller than the sum of its proper divisors (4010508).

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

2122164 is a wasteful number, since it uses less digits than its factorization.

2122164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 272 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2122164 is about 1456.7649089678. The cubic root of 2122164 is about 128.5068607015.

Adding to 2122164 its reverse (4612212), we get a palindrome (6734376).

The spelling of 2122164 in words is "two million, one hundred twenty-two thousand, one hundred sixty-four".