242958824640 has 2016 divisors, whose sum is σ = 1098567475200. Its totient is φ = 48910417920.

The previous prime is 242958824629. The next prime is 242958824663. The reversal of 242958824640 is 46428859242.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×242958824640² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3075428121 + ... + 3075428199.

Almost surely, 2^242958824640 is an apocalyptic number.

242958824640 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 242958824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549283737600).

242958824640 is an abundant number, since it is smaller than the sum of its proper divisors (855608650560).

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

242958824640 is a wasteful number, since it uses less digits than its factorization.

242958824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 242958824640 in words is "two hundred forty-two billion, nine hundred fifty-eight million, eight hundred twenty-four thousand, six hundred forty".