242957809152 has 160 divisors (see below), whose sum is σ = 743972248800. Its totient is φ = 78193188864.

The previous prime is 242957809141. The next prime is 242957809153. The reversal of 242957809152 is 251908759242.

242957809152 is a `hidden beast` number, since 2 + 429 + 5 + 7 + 80 + 91 + 52 = 666.

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 (242957809153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97878 + ... + 703914.

It is an arithmetic number, because the mean of its divisors is an integer number (4649826555).

Almost surely, 2^242957809152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242957809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371986124400).

242957809152 is an abundant number, since it is smaller than the sum of its proper divisors (501014439648).

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

242957809152 is an equidigital number, since it uses as much as digits as its factorization.

242957809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606093 (or 606071 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 242957809152 in words is "two hundred forty-two billion, nine hundred fifty-seven million, eight hundred nine thousand, one hundred fifty-two".