242073031200 has 1728 divisors, whose sum is σ = 1113300744192. Its totient is φ = 44281036800.

The previous prime is 242073031181. The next prime is 242073031219. The reversal of 242073031200 is 2130370242.

It is an interprime number because it is at equal distance from previous prime (242073031181) and next prime (242073031219).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 718317432 + ... + 718317768.

It is an arithmetic number, because the mean of its divisors is an integer number (644271264).

Almost surely, 2^242073031200 is an apocalyptic number.

242073031200 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 242073031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556650372096).

242073031200 is an abundant number, since it is smaller than the sum of its proper divisors (871227712992).

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

242073031200 is a wasteful number, since it uses less digits than its factorization.

242073031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 242073031200 in words is "two hundred forty-two billion, seventy-three million, thirty-one thousand, two hundred".