242581473792 has 960 divisors, whose sum is σ = 868812392448. Its totient is φ = 63700992000.

The previous prime is 242581473787. The next prime is 242581473839. The reversal of 242581473792 is 297374185242.

242581473792 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 81 + 473 + 7 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2500839888 + ... + 2500839984.

Almost surely, 2^242581473792 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 242581473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434406196224).

242581473792 is an abundant number, since it is smaller than the sum of its proper divisors (626230918656).

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

242581473792 is a wasteful number, since it uses less digits than its factorization.

242581473792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 242581473792 in words is "two hundred forty-two billion, five hundred eighty-one million, four hundred seventy-three thousand, seven hundred ninety-two".