242150732928 has 512 divisors, whose sum is σ = 812452032000. Its totient is φ = 70440910848.

The previous prime is 242150732927. The next prime is 242150732983. The reversal of 242150732928 is 829237051242.

242150732928 is a `hidden beast` number, since 2 + 4 + 21 + 507 + 32 + 92 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (242150732927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91966300 + ... + 91968932.

It is an arithmetic number, because the mean of its divisors is an integer number (1586820375).

Almost surely, 2^242150732928 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 242150732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406226016000).

242150732928 is an abundant number, since it is smaller than the sum of its proper divisors (570301299072).

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

242150732928 is a wasteful number, since it uses less digits than its factorization.

242150732928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 242150732928 in words is "two hundred forty-two billion, one hundred fifty million, seven hundred thirty-two thousand, nine hundred twenty-eight".