218005080 has 64 divisors (see below), whose sum is σ = 657473760. Its totient is φ = 57827328.

The previous prime is 218005079. The next prime is 218005087. The reversal of 218005080 is 80500812.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 218005080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218005087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18454 + ... + 27866.

Almost surely, 2^218005080 is an apocalyptic number.

218005080 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 218005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328736880).

218005080 is an abundant number, since it is smaller than the sum of its proper divisors (439468680).

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

218005080 is a wasteful number, since it uses less digits than its factorization.

218005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 218005080 is about 14764.9950897384. The cubic root of 218005080 is about 601.8508403350.

Adding to 218005080 its reverse (80500812), we get a palindrome (298505892).

The spelling of 218005080 in words is "two hundred eighteen million, five thousand, eighty".