242058691584 has 264 divisors, whose sum is σ = 738585111680. Its totient is φ = 76142592000.

The previous prime is 242058691583. The next prime is 242058691591. The reversal of 242058691584 is 485196850242.

242058691584 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 58 + 6 + 9 + 1 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242058691584.

It is not an unprimeable number, because it can be changed into a prime (242058691583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47450634 + ... + 47455734.

Almost surely, 2^242058691584 is an apocalyptic number.

242058691584 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 242058691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369292555840).

242058691584 is an abundant number, since it is smaller than the sum of its proper divisors (496526420096).

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

242058691584 is a wasteful number, since it uses less digits than its factorization.

242058691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 242058691584 in words is "two hundred forty-two billion, fifty-eight million, six hundred ninety-one thousand, five hundred eighty-four".