242195858460 has 192 divisors, whose sum is σ = 776803789440. Its totient is φ = 62608066560.

The previous prime is 242195858441. The next prime is 242195858461. The reversal of 242195858460 is 64858591242.

242195858460 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 9 + 58 + 584 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242195858397 and 242195858406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242195858461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3441142 + ... + 3510818.

It is an arithmetic number, because the mean of its divisors is an integer number (4045853070).

Almost surely, 2^242195858460 is an apocalyptic number.

242195858460 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 242195858460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388401894720).

242195858460 is an abundant number, since it is smaller than the sum of its proper divisors (534607930980).

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

242195858460 is a wasteful number, since it uses less digits than its factorization.

242195858460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69893 (or 69885 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 242195858460 in words is "two hundred forty-two billion, one hundred ninety-five million, eight hundred fifty-eight thousand, four hundred sixty".