242192074320 has 480 divisors, whose sum is σ = 985675841280. Its totient is φ = 52058972160.

The previous prime is 242192074297. The next prime is 242192074409. The reversal of 242192074320 is 23470291242.

It is a happy number.

242192074320 is a `hidden beast` number, since 2 + 4 + 2 + 19 + 207 + 432 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 13109890 + ... + 13128350.

It is an arithmetic number, because the mean of its divisors is an integer number (2053491336).

Almost surely, 2^242192074320 is an apocalyptic number.

242192074320 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 242192074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492837920640).

242192074320 is an abundant number, since it is smaller than the sum of its proper divisors (743483766960).

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

242192074320 is a wasteful number, since it uses less digits than its factorization.

242192074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643 (or 18634 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 242192074320 in words is "two hundred forty-two billion, one hundred ninety-two million, seventy-four thousand, three hundred twenty".