218044080 has 120 divisors (see below), whose sum is σ = 755963520. Its totient is φ = 56263680.

The previous prime is 218044061. The next prime is 218044087. The reversal of 218044080 is 80440812.

218044080 is a `hidden beast` number, since 218 + 0 + 440 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (218044087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17436 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (6299696).

Almost surely, 2^218044080 is an apocalyptic number.

218044080 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 218044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377981760).

218044080 is an abundant number, since it is smaller than the sum of its proper divisors (537919440).

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

218044080 is a wasteful number, since it uses less digits than its factorization.

218044080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819 (or 9810 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 218044080 is about 14766.3157219396. The cubic root of 218044080 is about 601.8867275465.

Adding to 218044080 its reverse (80440812), we get a palindrome (298484892).

The spelling of 218044080 in words is "two hundred eighteen million, forty-four thousand, eighty".