242512310054320 has 160 divisors (see below), whose sum is σ = 572075678116800. Its totient is φ = 95598699282432.

The previous prime is 242512310054249. The next prime is 242512310054347. The reversal of 242512310054320 is 23450013215242.

It is a super-2 number, since 2×242512310054320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1887440799 + ... + 1887569281.

It is an arithmetic number, because the mean of its divisors is an integer number (3575472988230).

Almost surely, 2^{242512310054320} is an apocalyptic number.

242512310054320 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 242512310054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286037839058400).

242512310054320 is an abundant number, since it is smaller than the sum of its proper divisors (329563368062480).

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

242512310054320 is a wasteful number, since it uses less digits than its factorization.

242512310054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129767 (or 129761 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 242512310054320 its reverse (23450013215242), we get a palindrome (265962323269562).

The spelling of 242512310054320 in words is "two hundred forty-two trillion, five hundred twelve billion, three hundred ten million, fifty-four thousand, three hundred twenty".