242572074624 has 512 divisors, whose sum is σ = 842268672000. Its totient is φ = 67931136000.

The previous prime is 242572074601. The next prime is 242572074691. The reversal of 242572074624 is 426470275242.

242572074624 is a `hidden beast` number, since 2 + 4 + 2 + 572 + 0 + 74 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×242572074624² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242572074624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29610369 + ... + 29618559.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056000).

Almost surely, 2^242572074624 is an apocalyptic number.

242572074624 is a gapful number since it is divisible by the number (24) 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 242572074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421134336000).

242572074624 is an abundant number, since it is smaller than the sum of its proper divisors (599696597376).

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

242572074624 is a wasteful number, since it uses less digits than its factorization.

242572074624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 242572074624 in words is "two hundred forty-two billion, five hundred seventy-two million, seventy-four thousand, six hundred twenty-four".