242444084256 has 192 divisors, whose sum is σ = 775075392000. Its totient is φ = 73119110400.

The previous prime is 242444084251. The next prime is 242444084263. The reversal of 242444084256 is 652480444242.

242444084256 is a `hidden beast` number, since 242 + 44 + 40 + 84 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (242444084251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944895 + ... + 2065793.

It is an arithmetic number, because the mean of its divisors is an integer number (4036851000).

Almost surely, 2^242444084256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242444084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387537696000).

242444084256 is an abundant number, since it is smaller than the sum of its proper divisors (532631307744).

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

242444084256 is a wasteful number, since it uses less digits than its factorization.

242444084256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121140 (or 121126 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 45.

The spelling of 242444084256 in words is "two hundred forty-two billion, four hundred forty-four million, eighty-four thousand, two hundred fifty-six".