2218160 has 80 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 712704.

The previous prime is 2218157. The next prime is 2218171. The reversal of 2218160 is 618122.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9404 + ... + 9636.

2^2218160 is an apocalyptic number.

2218160 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 2218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728).

2218160 is an abundant number, since it is smaller than the sum of its proper divisors (4049296).

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

2218160 is a wasteful number, since it uses less digits than its factorization.

2218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2218160 is about 1489.3488510084. The cubic root of 2218160 is about 130.4160242267.

The spelling of 2218160 in words is "two million, two hundred eighteen thousand, one hundred sixty".