218085210 has 96 divisors (see below), whose sum is σ = 672077952. Its totient is φ = 49844160.

The previous prime is 218085193. The next prime is 218085221. The reversal of 218085210 is 12580812.

It is a super-2 number, since 2×218085210² = 95122317641488200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10600 + ... + 23420.

It is an arithmetic number, because the mean of its divisors is an integer number (7000812).

Almost surely, 2^218085210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218085210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336038976).

218085210 is an abundant number, since it is smaller than the sum of its proper divisors (453992742).

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

218085210 is a wasteful number, since it uses less digits than its factorization.

218085210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 218085210 is about 14767.7083530249. The cubic root of 218085210 is about 601.9245701159.

The spelling of 218085210 in words is "two hundred eighteen million, eighty-five thousand, two hundred ten".