2109120 has 112 divisors (see below), whose sum is σ = 7254240. Its totient is φ = 519168.

The previous prime is 2109119. The next prime is 2109127. The reversal of 2109120 is 219012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2109120.

It is not an unprimeable number, because it can be changed into a prime (2109127) 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, 162234 + ... + 162246.

It is an arithmetic number, because the mean of its divisors is an integer number (64770).

2^2109120 is an apocalyptic number.

2109120 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 2109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627120).

2109120 is an abundant number, since it is smaller than the sum of its proper divisors (5145120).

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

2109120 is an equidigital number, since it uses as much as digits as its factorization.

2109120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2109120 is about 1452.2809645520. The cubic root of 2109120 is about 128.2430278652.

2109120 divided by its sum of digits (15) gives a cube (140608 = 52³).

The spelling of 2109120 in words is "two million, one hundred nine thousand, one hundred twenty".