242725587104 has 192 divisors, whose sum is σ = 679353599232. Its totient is φ = 82158796800.

The previous prime is 242725587073. The next prime is 242725587109. The reversal of 242725587104 is 401785527242.

It is a super-2 number, since 2×242725587104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242725587109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321674 + ... + 767414.

It is an arithmetic number, because the mean of its divisors is an integer number (3538299996).

Almost surely, 2^242725587104 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 242725587104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339676799616).

242725587104 is an abundant number, since it is smaller than the sum of its proper divisors (436628012128).

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

242725587104 is a wasteful number, since it uses less digits than its factorization.

242725587104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445799 (or 445791 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 47.

The spelling of 242725587104 in words is "two hundred forty-two billion, seven hundred twenty-five million, five hundred eighty-seven thousand, one hundred four".