242023735296 has 672 divisors, whose sum is σ = 845378527680. Its totient is φ = 68223762432.

The previous prime is 242023735267. The next prime is 242023735297. The reversal of 242023735296 is 692537320242.

242023735296 is a `hidden beast` number, since 2 + 4 + 202 + 3 + 7 + 352 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242023735297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1484808111 + ... + 1484808273.

Almost surely, 2^242023735296 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 242023735296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422689263840).

242023735296 is an abundant number, since it is smaller than the sum of its proper divisors (603354792384).

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

242023735296 is a wasteful number, since it uses less digits than its factorization.

242023735296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 242023735296 in words is "two hundred forty-two billion, twenty-three million, seven hundred thirty-five thousand, two hundred ninety-six".