242292976032 has 96 divisors (see below), whose sum is σ = 658102233600. Its totient is φ = 77961397248.

The previous prime is 242292976031. The next prime is 242292976067. The reversal of 242292976032 is 230679292242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (242292976031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17718894 + ... + 17732562.

It is an arithmetic number, because the mean of its divisors is an integer number (6855231600).

Almost surely, 2^242292976032 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 242292976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329051116800).

242292976032 is an abundant number, since it is smaller than the sum of its proper divisors (415809257568).

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

242292976032 is a wasteful number, since it uses less digits than its factorization.

242292976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20070 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 242292976032 in words is "two hundred forty-two billion, two hundred ninety-two million, nine hundred seventy-six thousand, thirty-two".