242659402272 has 288 divisors, whose sum is σ = 830810373120. Its totient is φ = 65630062080.

The previous prime is 242659402199. The next prime is 242659402283. The reversal of 242659402272 is 272204956242.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×242659402272² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95873647 + ... + 95876177.

It is an arithmetic number, because the mean of its divisors is an integer number (2884758240).

Almost surely, 2^242659402272 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 242659402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415405186560).

242659402272 is an abundant number, since it is smaller than the sum of its proper divisors (588150970848).

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

242659402272 is a wasteful number, since it uses less digits than its factorization.

242659402272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 242659402272 in words is "two hundred forty-two billion, six hundred fifty-nine million, four hundred two thousand, two hundred seventy-two".