2218320 has 160 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 539136.

The previous prime is 2218319. The next prime is 2218331. The reversal of 2218320 is 238122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2218293 and 2218302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28041 + ... + 28119.

It is an arithmetic number, because the mean of its divisors is an integer number (52080).

2^2218320 is an apocalyptic number.

2218320 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 2218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2218320 is an abundant number, since it is smaller than the sum of its proper divisors (6114480).

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

2218320 is a wasteful number, since it uses less digits than its factorization.

2218320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2218320 is about 1489.4025647890. The cubic root of 2218320 is about 130.4191598680.

The spelling of 2218320 in words is "two million, two hundred eighteen thousand, three hundred twenty".