242600819520 has 168 divisors, whose sum is σ = 779670877536. Its totient is φ = 63912369152.

The previous prime is 242600819501. The next prime is 242600819563. The reversal of 242600819520 is 25918006242.

It is a super-2 number, since 2×242600819520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6595099 + ... + 6631781.

Almost surely, 2^242600819520 is an apocalyptic number.

242600819520 is a gapful number since it is divisible by the number (20) 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 242600819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389835438768).

242600819520 is an abundant number, since it is smaller than the sum of its proper divisors (537070058016).

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

242600819520 is an equidigital number, since it uses as much as digits as its factorization.

242600819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36869 (or 36776 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 242600819520 in words is "two hundred forty-two billion, six hundred million, eight hundred nineteen thousand, five hundred twenty".