218262240 has 288 divisors, whose sum is σ = 868008960. Its totient is φ = 48909312.

The previous prime is 218262217. The next prime is 218262251. The reversal of 218262240 is 42262812.

It is a happy number.

218262240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594537 + ... + 594903.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^218262240 is an apocalyptic number.

218262240 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 218262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434004480).

218262240 is an abundant number, since it is smaller than the sum of its proper divisors (649746720).

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

218262240 is a wasteful number, since it uses less digits than its factorization.

218262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 218262240 is about 14773.7009581215. The cubic root of 218262240 is about 602.0873962069.

The spelling of 218262240 in words is "two hundred eighteen million, two hundred sixty-two thousand, two hundred forty".