2118120 has 64 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 534528.

The previous prime is 2118119. The next prime is 2118121. The reversal of 2118120 is 218112.

It is an interprime number because it is at equal distance from previous prime (2118119) and next prime (2118121).

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 2118120.

It is not an unprimeable number, because it can be changed into a prime (2118121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816 + ... + 2744.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

2^2118120 is an apocalyptic number.

2118120 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 2118120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2118120 is an abundant number, since it is smaller than the sum of its proper divisors (4577880).

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

2118120 is a wasteful number, since it uses less digits than its factorization.

2118120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2118120 is about 1455.3762400149. The cubic root of 2118120 is about 128.4251811523.

The spelling of 2118120 in words is "two million, one hundred eighteen thousand, one hundred twenty".