242382178528 has 72 divisors (see below), whose sum is σ = 556126477704. Its totient is φ = 103685702400.

The previous prime is 242382178523. The next prime is 242382178537. The reversal of 242382178528 is 825871283242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242382178523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 705423 + ... + 991153.

It is an arithmetic number, because the mean of its divisors is an integer number (7723978857).

Almost surely, 2^242382178528 is an apocalyptic number.

242382178528 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 242382178528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278063238852).

242382178528 is an abundant number, since it is smaller than the sum of its proper divisors (313744299176).

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

242382178528 is a wasteful number, since it uses less digits than its factorization.

242382178528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286296 (or 286281 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 242382178528 in words is "two hundred forty-two billion, three hundred eighty-two million, one hundred seventy-eight thousand, five hundred twenty-eight".