2118160 has 80 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 734720.

The previous prime is 2118121. The next prime is 2118163. The reversal of 2118160 is 618112.

2118160 = 111² + 112² + ... + 197².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25479 + ... + 25561.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^2118160 is an apocalyptic number.

2118160 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 2118160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2118160 is an abundant number, since it is smaller than the sum of its proper divisors (3506480).

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

2118160 is a wasteful number, since it uses less digits than its factorization.

2118160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 2118160 is about 1455.3899821010. The cubic root of 2118160 is about 128.4259895696.

It can be divided in two parts, 2118 and 160, that added together give a triangular number (2278 = T₆₇).

The spelling of 2118160 in words is "two million, one hundred eighteen thousand, one hundred sixty".