218006774240 has 48 divisors (see below), whose sum is σ = 515073459600. Its totient is φ = 87197214720.

The previous prime is 218006774233. The next prime is 218006774243. The reversal of 218006774240 is 42477600812.

It is a happy number.

It is a super-2 number, since 2×218006774240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218006774243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3329336 + ... + 3394184.

It is an arithmetic number, because the mean of its divisors is an integer number (10730697075).

Almost surely, 2^218006774240 is an apocalyptic number.

218006774240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218006774240 is an abundant number, since it is smaller than the sum of its proper divisors (297066685360).

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

218006774240 is a wasteful number, since it uses less digits than its factorization.

218006774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85875 (or 85867 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 218006774240 in words is "two hundred eighteen billion, six million, seven hundred seventy-four thousand, two hundred forty".