218237040 has 480 divisors, whose sum is σ = 919226880. Its totient is φ = 45287424.

The previous prime is 218237011. The next prime is 218237057. The reversal of 218237040 is 40732812.

It is a junction number, because it is equal to n+sod(n) for n = 218236995 and 218237013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4117654 + ... + 4117706.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^218237040 is an apocalyptic number.

218237040 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 218237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

218237040 is an abundant number, since it is smaller than the sum of its proper divisors (700989840).

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

218237040 is a wasteful number, since it uses less digits than its factorization.

218237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 218237040 is about 14772.8480666390. The cubic root of 218237040 is about 602.0642234915.

Adding to 218237040 its reverse (40732812), we get a palindrome (258969852).

The spelling of 218237040 in words is "two hundred eighteen million, two hundred thirty-seven thousand, forty".