242290234368 has 1408 divisors, whose sum is σ = 950803660800. Its totient is φ = 59210072064.

The previous prime is 242290234357. The next prime is 242290234507. The reversal of 242290234368 is 863432092242.

242290234368 is a `hidden beast` number, since 24 + 229 + 0 + 2 + 343 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3066964953 + ... + 3066965031.

Almost surely, 2^242290234368 is an apocalyptic number.

242290234368 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 242290234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475401830400).

242290234368 is an abundant number, since it is smaller than the sum of its proper divisors (708513426432).

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

242290234368 is a wasteful number, since it uses less digits than its factorization.

242290234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 242290234368 in words is "two hundred forty-two billion, two hundred ninety million, two hundred thirty-four thousand, three hundred sixty-eight".