242711973504 has 1024 divisors, whose sum is σ = 1018618675200. Its totient is φ = 54756311040.

The previous prime is 242711973499. The next prime is 242711973551. The reversal of 242711973504 is 405379117242.

242711973504 is a `hidden beast` number, since 2 + 4 + 2 + 71 + 1 + 9 + 73 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242711973504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58808689 + ... + 58812815.

It is an arithmetic number, because the mean of its divisors is an integer number (994744800).

Almost surely, 2^242711973504 is an apocalyptic number.

242711973504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242711973504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509309337600).

242711973504 is an abundant number, since it is smaller than the sum of its proper divisors (775906701696).

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

242711973504 is a wasteful number, since it uses less digits than its factorization.

242711973504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 242711973504 in words is "two hundred forty-two billion, seven hundred eleven million, nine hundred seventy-three thousand, five hundred four".