242365691904 has 192 divisors, whose sum is σ = 750571960320. Its totient is φ = 68111400960.

The previous prime is 242365691881. The next prime is 242365691921. The reversal of 242365691904 is 409196563242.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×242365691904² (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 15 ways as a sum of consecutive naturals, for example, 2577297 + ... + 2669679.

It is an arithmetic number, because the mean of its divisors is an integer number (3909228960).

Almost surely, 2^242365691904 is an apocalyptic number.

242365691904 is a gapful number since it is divisible by the number (24) 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 242365691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375285980160).

242365691904 is an abundant number, since it is smaller than the sum of its proper divisors (508206268416).

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

242365691904 is an equidigital number, since it uses as much as digits as its factorization.

242365691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92476 (or 92456 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 242365691904 in words is "two hundred forty-two billion, three hundred sixty-five million, six hundred ninety-one thousand, nine hundred four".