242073756288 has 384 divisors, whose sum is σ = 885012710400. Its totient is φ = 61783326720.

The previous prime is 242073756283. The next prime is 242073756289. The reversal of 242073756288 is 882657370242.

242073756288 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 7 + 3 + 7 + 5 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (242073756283) 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, 3212548 + ... + 3287036.

It is an arithmetic number, because the mean of its divisors is an integer number (2304720600).

Almost surely, 2^242073756288 is an apocalyptic number.

242073756288 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 242073756288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442506355200).

242073756288 is an abundant number, since it is smaller than the sum of its proper divisors (642938954112).

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

242073756288 is a wasteful number, since it uses less digits than its factorization.

242073756288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74560 (or 74545 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 242073756288 in words is "two hundred forty-two billion, seventy-three million, seven hundred fifty-six thousand, two hundred eighty-eight".