218040000 has 280 divisors, whose sum is σ = 761756160. Its totient is φ = 54912000.

The previous prime is 218039993. The next prime is 218040049. The reversal of 218040000 is 40812.

218040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759961 + ... + 2760039.

Almost surely, 2^218040000 is an apocalyptic number.

218040000 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 218040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380878080).

218040000 is an abundant number, since it is smaller than the sum of its proper divisors (543716160).

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

218040000 is an equidigital number, since it uses as much as digits as its factorization.

218040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 218040000 is about 14766.1775690258. The cubic root of 218040000 is about 601.8829733925.

Adding to 218040000 its reverse (40812), we get a palindrome (218080812).

The spelling of 218040000 in words is "two hundred eighteen million, forty thousand".