218268540 has 288 divisors, whose sum is σ = 807831360. Its totient is φ = 48771072.

The previous prime is 218268509. The next prime is 218268563. The reversal of 218268540 is 45862812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218268495 and 218268504.

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, 1931524 + ... + 1931636.

It is an arithmetic number, because the mean of its divisors is an integer number (2804970).

Almost surely, 2^218268540 is an apocalyptic number.

218268540 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 218268540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403915680).

218268540 is an abundant number, since it is smaller than the sum of its proper divisors (589562820).

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

218268540 is a wasteful number, since it uses less digits than its factorization.

218268540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 218268540 is about 14773.9141732988. The cubic root of 218268540 is about 602.0931891071.

The spelling of 218268540 in words is "two hundred eighteen million, two hundred sixty-eight thousand, five hundred forty".