242683871232 has 288 divisors, whose sum is σ = 743395605120. Its totient is φ = 69646417920.

The previous prime is 242683871173. The next prime is 242683871233. The reversal of 242683871232 is 232178386242.

It is a super-2 number, since 2×242683871232² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242683871233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82180668 + ... + 82183620.

It is an arithmetic number, because the mean of its divisors is an integer number (2581234740).

Almost surely, 2^242683871232 is an apocalyptic number.

242683871232 is a gapful number since it is divisible by the number (22) 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 242683871232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371697802560).

242683871232 is an abundant number, since it is smaller than the sum of its proper divisors (500711733888).

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

242683871232 is an equidigital number, since it uses as much as digits as its factorization.

242683871232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 2988 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The spelling of 242683871232 in words is "two hundred forty-two billion, six hundred eighty-three million, eight hundred seventy-one thousand, two hundred thirty-two".