2218908160 has 300 divisors, whose sum is σ = 6550356978. Its totient is φ = 720728064.

The previous prime is 2218908157. The next prime is 2218908169. The reversal of 2218908160 is 618098122.

It can be written as a sum of positive squares in only one way, i.e., 1997017344 + 221890816 = 44688^2 + 14896^2 .

It is not an unprimeable number, because it can be changed into a prime (2218908169) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116784631 + ... + 116784649.

Almost surely, 2^2218908160 is an apocalyptic number.

2218908160 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 2218908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275178489).

2218908160 is an abundant number, since it is smaller than the sum of its proper divisors (4331448818).

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

2218908160 is an frugal number, since it uses more digits than its factorization.

2218908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 2218908160 is about 47105.2880258682. The cubic root of 2218908160 is about 1304.3068518968.

The spelling of 2218908160 in words is "two billion, two hundred eighteen million, nine hundred eight thousand, one hundred sixty".