242420597100 has 216 divisors, whose sum is σ = 831590493552. Its totient is φ = 58580121600.

The previous prime is 242420597071. The next prime is 242420597123. The reversal of 242420597100 is 1795024242.

242420597100 is a `hidden beast` number, since 2 + 42 + 4 + 20 + 597 + 1 + 0 + 0 = 666.

242420597100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3059584 + ... + 3137816.

Almost surely, 2^242420597100 is an apocalyptic number.

242420597100 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 242420597100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415795246776).

242420597100 is an abundant number, since it is smaller than the sum of its proper divisors (589169896452).

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

242420597100 is a wasteful number, since it uses less digits than its factorization.

242420597100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78577 (or 78567 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 242420597100 in words is "two hundred forty-two billion, four hundred twenty million, five hundred ninety-seven thousand, one hundred".