242907299712 has 640 divisors, whose sum is σ = 940519641600. Its totient is φ = 60345077760.

The previous prime is 242907299627. The next prime is 242907299717. The reversal of 242907299712 is 217992709242.

242907299712 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242907299717) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18355114 + ... + 18368342.

It is an arithmetic number, because the mean of its divisors is an integer number (1469561940).

Almost surely, 2^242907299712 is an apocalyptic number.

242907299712 is a gapful number since it is divisible by the number (22) 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 242907299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470259820800).

242907299712 is an abundant number, since it is smaller than the sum of its proper divisors (697612341888).

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

242907299712 is a wasteful number, since it uses less digits than its factorization.

242907299712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 242907299712 in words is "two hundred forty-two billion, nine hundred seven million, two hundred ninety-nine thousand, seven hundred twelve".