2122920 has 48 divisors (see below), whose sum is σ = 6900660. Its totient is φ = 566016.

The previous prime is 2122873. The next prime is 2122921. The reversal of 2122920 is 292212.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 66564 = 1434^2 + 258^2 .

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 = 2122893 and 2122902.

It is not an unprimeable number, because it can be changed into a prime (2122921) 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 11 ways as a sum of consecutive naturals, for example, 2589 + ... + 3308.

2^2122920 is an apocalyptic number.

2122920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122920 is an abundant number, since it is smaller than the sum of its proper divisors (4777740).

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

2122920 is a wasteful number, since it uses less digits than its factorization.

2122920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2122920 is about 1457.0243649301. The cubic root of 2122920 is about 128.5221186571.

The spelling of 2122920 in words is "two million, one hundred twenty-two thousand, nine hundred twenty".