218342180 has 96 divisors (see below), whose sum is σ = 547798272. Its totient is φ = 71539200.

The previous prime is 218342153. The next prime is 218342183. The reversal of 218342180 is 81243812.

It is not an unprimeable number, because it can be changed into a prime (218342183) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 315635 + ... + 316325.

It is an arithmetic number, because the mean of its divisors is an integer number (5706232).

Almost surely, 2^218342180 is an apocalyptic number.

218342180 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 218342180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273899136).

218342180 is an abundant number, since it is smaller than the sum of its proper divisors (329456092).

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

218342180 is a wasteful number, since it uses less digits than its factorization.

218342180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 218342180 is about 14776.4061936589. The cubic root of 218342180 is about 602.1608934085.

Adding to 218342180 its reverse (81243812), we get a palindrome (299585992).

The spelling of 218342180 in words is "two hundred eighteen million, three hundred forty-two thousand, one hundred eighty".