242402642496 has 420 divisors, whose sum is σ = 848408136048. Its totient is φ = 68219407872.

The previous prime is 242402642491. The next prime is 242402642569. The reversal of 242402642496 is 694246204242.

242402642496 is a `hidden beast` number, since 242 + 40 + 264 + 24 + 96 = 666.

It is a super-2 number, since 2×242402642496² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242402642491) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17011951 + ... + 17026193.

Almost surely, 2^242402642496 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 242402642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424204068024).

242402642496 is an abundant number, since it is smaller than the sum of its proper divisors (606005493552).

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

242402642496 is a wasteful number, since it uses less digits than its factorization.

242402642496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14348 (or 14322 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 242402642496 in words is "two hundred forty-two billion, four hundred two million, six hundred forty-two thousand, four hundred ninety-six".