242516573952 has 144 divisors (see below), whose sum is σ = 679752312960. Its totient is φ = 76546584576.

The previous prime is 242516573951. The next prime is 242516573953. The reversal of 242516573952 is 259375615242.

242516573952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242516573951) and next prime (242516573953).

It is a junction number, because it is equal to n+sod(n) for n = 242516573895 and 242516573904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242516573951) 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 15 ways as a sum of consecutive naturals, for example, 57154743 + ... + 57158985.

Almost surely, 2^242516573952 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 242516573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339876156480).

242516573952 is an abundant number, since it is smaller than the sum of its proper divisors (437235739008).

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

242516573952 is a wasteful number, since it uses less digits than its factorization.

242516573952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198 (or 8184 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The spelling of 242516573952 in words is "two hundred forty-two billion, five hundred sixteen million, five hundred seventy-three thousand, nine hundred fifty-two".