218340990 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 47623680.

The previous prime is 218340961. The next prime is 218341037. The reversal of 218340990 is 99043812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2040517 + ... + 2040623.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^218340990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218340990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

218340990 is an abundant number, since it is smaller than the sum of its proper divisors (460970370).

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

218340990 is a wasteful number, since it uses less digits than its factorization.

218340990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 218340990 is about 14776.3659267088. The cubic root of 218340990 is about 602.1597994486.

The spelling of 218340990 in words is "two hundred eighteen million, three hundred forty thousand, nine hundred ninety".