242681951232 has 880 divisors, whose sum is σ = 915926711040. Its totient is φ = 62363271168.

The previous prime is 242681951191. The next prime is 242681951251. The reversal of 242681951232 is 232159186242.

242681951232 is a `hidden beast` number, since 2 + 4 + 26 + 81 + 9 + 512 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 227017194 + ... + 227018262.

It is an arithmetic number, because the mean of its divisors is an integer number (1040825808).

Almost surely, 2^242681951232 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 242681951232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457963355520).

242681951232 is an abundant number, since it is smaller than the sum of its proper divisors (673244759808).

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

242681951232 is a wasteful number, since it uses less digits than its factorization.

242681951232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1121 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 242681951232 in words is "two hundred forty-two billion, six hundred eighty-one million, nine hundred fifty-one thousand, two hundred thirty-two".