581293207242 has 128 divisors (see below), whose sum is σ = 1455810969600. Its totient is φ = 170331595200.

The previous prime is 581293207199. The next prime is 581293207267. The reversal of 581293207242 is 242702392185.

581293207242 is a `hidden beast` number, since 5 + 81 + 2 + 9 + 320 + 7 + 242 = 666.

It is a super-2 number, since 2×581293207242² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24423484 + ... + 24447272.

It is an arithmetic number, because the mean of its divisors is an integer number (11373523200).

Almost surely, 2^581293207242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581293207242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727905484800).

581293207242 is an abundant number, since it is smaller than the sum of its proper divisors (874517762358).

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

581293207242 is a wasteful number, since it uses less digits than its factorization.

581293207242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25169 (or 25163 counting only the distinct ones).

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

The spelling of 581293207242 in words is "five hundred eighty-one billion, two hundred ninety-three million, two hundred seven thousand, two hundred forty-two".