242952644016 has 240 divisors, whose sum is σ = 733466448000. Its totient is φ = 74839265280.

The previous prime is 242952643993. The next prime is 242952644029. The reversal of 242952644016 is 610446259242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21140800 + ... + 21152288.

It is an arithmetic number, because the mean of its divisors is an integer number (3056110200).

Almost surely, 2^242952644016 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 242952644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366733224000).

242952644016 is an abundant number, since it is smaller than the sum of its proper divisors (490513803984).

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

242952644016 is a wasteful number, since it uses less digits than its factorization.

242952644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11712 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 242952644016 in words is "two hundred forty-two billion, nine hundred fifty-two million, six hundred forty-four thousand, sixteen".