218880522240 has 192 divisors, whose sum is σ = 712121155200. Its totient is φ = 57378373632.

The previous prime is 218880522227. The next prime is 218880522269. The reversal of 218880522240 is 42225088812.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 218880522192 and 218880522201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1752099 + ... + 1872861.

It is an arithmetic number, because the mean of its divisors is an integer number (3708964350).

Almost surely, 2^218880522240 is an apocalyptic number.

218880522240 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 218880522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356060577600).

218880522240 is an abundant number, since it is smaller than the sum of its proper divisors (493240632960).

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

218880522240 is a wasteful number, since it uses less digits than its factorization.

218880522240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120852 (or 120832 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 218880522240 in words is "two hundred eighteen billion, eight hundred eighty million, five hundred twenty-two thousand, two hundred forty".