218689380 has 288 divisors, whose sum is σ = 831667200. Its totient is φ = 45556992.

The previous prime is 218689379. The next prime is 218689381. The reversal of 218689380 is 83986812.

218689380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (218689379) and next prime (218689381).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (218689381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2768181 + ... + 2768259.

Almost surely, 2^218689380 is an apocalyptic number.

218689380 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 218689380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415833600).

218689380 is an abundant number, since it is smaller than the sum of its proper divisors (612977820).

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

218689380 is a wasteful number, since it uses less digits than its factorization.

218689380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 218689380 is about 14788.1499857149. The cubic root of 218689380 is about 602.4799026830.

The spelling of 218689380 in words is "two hundred eighteen million, six hundred eighty-nine thousand, three hundred eighty".