2119120 has 20 divisors (see below), whose sum is σ = 4927140. Its totient is φ = 847616.

The previous prime is 2119093. The next prime is 2119121. The reversal of 2119120 is 219112.

It can be written as a sum of positive squares in 2 ways, for example, as 620944 + 1498176 = 788^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2119094 and 2119103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13165 + ... + 13324.

It is an arithmetic number, because the mean of its divisors is an integer number (246357).

2^2119120 is an apocalyptic number.

2119120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2119120 is an abundant number, since it is smaller than the sum of its proper divisors (2808020).

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

2119120 is a wasteful number, since it uses less digits than its factorization.

2119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 2119120 is about 1455.7197532492. The cubic root of 2119120 is about 128.4453885336.

The spelling of 2119120 in words is "two million, one hundred nineteen thousand, one hundred twenty".