2122160 has 40 divisors (see below), whose sum is σ = 5062176. Its totient is φ = 826880.

The previous prime is 2122151. The next prime is 2122163. The reversal of 2122160 is 612212.

2122160 = 26² + 27² + ... + 185².

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2122163) 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 7 ways as a sum of consecutive naturals, for example, 2957 + ... + 3603.

2^2122160 is an apocalyptic number.

2122160 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 2122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531088).

2122160 is an abundant number, since it is smaller than the sum of its proper divisors (2940016).

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

2122160 is a wasteful number, since it uses less digits than its factorization.

2122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2122160 is about 1456.7635360620. The cubic root of 2122160 is about 128.5067799619.

Adding to 2122160 its reverse (612212), we get a palindrome (2734372).

The spelling of 2122160 in words is "two million, one hundred twenty-two thousand, one hundred sixty".