242415980928 has 640 divisors, whose sum is σ = 842548845600. Its totient is φ = 68372398080.

The previous prime is 242415980921. The next prime is 242415980929. The reversal of 242415980928 is 829089514242.

242415980928 is a `hidden beast` number, since 2 + 4 + 2 + 41 + 598 + 0 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242415980921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188064508 + ... + 188065796.

Almost surely, 2^242415980928 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 242415980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421274422800).

242415980928 is an abundant number, since it is smaller than the sum of its proper divisors (600132864672).

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

242415980928 is a wasteful number, since it uses less digits than its factorization.

242415980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 242415980928 in words is "two hundred forty-two billion, four hundred fifteen million, nine hundred eighty thousand, nine hundred twenty-eight".