242558524784640 has 1088 divisors, whose sum is σ = 847256365670400. Its totient is φ = 59029585920000.

The previous prime is 242558524784603. The next prime is 242558524784651. The reversal of 242558524784640 is 46487425855242.

It is a congruent number.

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, 145331649726 + ... + 145331651394.

Almost surely, 2^{242558524784640} is an apocalyptic number.

242558524784640 is a gapful number since it is divisible by the number (20) 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 242558524784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423628182835200).

242558524784640 is an abundant number, since it is smaller than the sum of its proper divisors (604697840885760).

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

242558524784640 is a wasteful number, since it uses less digits than its factorization.

242558524784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 66.

The spelling of 242558524784640 in words is "two hundred forty-two trillion, five hundred fifty-eight billion, five hundred twenty-four million, seven hundred eighty-four thousand, six hundred forty".