242105837568 has 384 divisors, whose sum is σ = 768678543360. Its totient is φ = 66308014080.

The previous prime is 242105837539. The next prime is 242105837573. The reversal of 242105837568 is 865738501242.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 242105837568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150656221 + ... + 150657827.

It is an arithmetic number, because the mean of its divisors is an integer number (2001767040).

Almost surely, 2^242105837568 is an apocalyptic number.

242105837568 is a gapful number since it is divisible by the number (28) 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 242105837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384339271680).

242105837568 is an abundant number, since it is smaller than the sum of its proper divisors (526572705792).

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

242105837568 is a wasteful number, since it uses less digits than its factorization.

242105837568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 242105837568 in words is "two hundred forty-two billion, one hundred five million, eight hundred thirty-seven thousand, five hundred sixty-eight".