242775936000 has 1584 divisors, whose sum is σ = 1002791892960. Its totient is φ = 56357683200.

The previous prime is 242775935999. The next prime is 242775936023. The reversal of 242775936000 is 639577242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5645951979 + ... + 5645952021.

It is an arithmetic number, because the mean of its divisors is an integer number (633075690).

Almost surely, 2^242775936000 is an apocalyptic number.

242775936000 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 242775936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501395946480).

242775936000 is an abundant number, since it is smaller than the sum of its proper divisors (760015956960).

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

242775936000 is a wasteful number, since it uses less digits than its factorization.

242775936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 242775936000 in words is "two hundred forty-two billion, seven hundred seventy-five million, nine hundred thirty-six thousand".