242819731872 has 288 divisors, whose sum is σ = 751359772800. Its totient is φ = 74122573824.

The previous prime is 242819731859. The next prime is 242819731877. The reversal of 242819731872 is 278137918242.

242819731872 is a `hidden beast` number, since 242 + 8 + 19 + 7 + 318 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×242819731872² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242819731877) 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, 31783029 + ... + 31790667.

It is an arithmetic number, because the mean of its divisors is an integer number (2608888100).

Almost surely, 2^242819731872 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 242819731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375679886400).

242819731872 is an abundant number, since it is smaller than the sum of its proper divisors (508540040928).

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

242819731872 is a wasteful number, since it uses less digits than its factorization.

242819731872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7857 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 242819731872 in words is "two hundred forty-two billion, eight hundred nineteen million, seven hundred thirty-one thousand, eight hundred seventy-two".