242606942527488 has 896 divisors, whose sum is σ = 866019711062016. Its totient is φ = 58472162918400.

The previous prime is 242606942527459. The next prime is 242606942527501. The reversal of 242606942527488 is 884725249606242.

It is a tau number, because it is divible by the number of its divisors (896).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2284015756 + ... + 2284121972.

It is an arithmetic number, because the mean of its divisors is an integer number (966539856096).

Almost surely, 2^{242606942527488} is an apocalyptic number.

242606942527488 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 242606942527488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433009855531008).

242606942527488 is an abundant number, since it is smaller than the sum of its proper divisors (623412768534528).

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

242606942527488 is a wasteful number, since it uses less digits than its factorization.

242606942527488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106352 (or 106328 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 69.

The spelling of 242606942527488 in words is "two hundred forty-two trillion, six hundred six billion, nine hundred forty-two million, five hundred twenty-seven thousand, four hundred eighty-eight".