242536597056 has 392 divisors, whose sum is σ = 786008958840. Its totient is φ = 73771720704.

The previous prime is 242536597027. The next prime is 242536597073. The reversal of 242536597056 is 650795635242.

It is a happy number.

242536597056 is a `hidden beast` number, since 2 + 4 + 2 + 536 + 59 + 7 + 0 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35802694656 + 206733902400 = 189216^2 + 454680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242536596993 and 242536597011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53978746 + ... + 53983238.

It is an arithmetic number, because the mean of its divisors is an integer number (2005124895).

Almost surely, 2^242536597056 is an apocalyptic number.

242536597056 is a gapful number since it is divisible by the number (26) 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 242536597056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393004479420).

242536597056 is an abundant number, since it is smaller than the sum of its proper divisors (543472361784).

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

242536597056 is an equidigital number, since it uses as much as digits as its factorization.

242536597056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 242536597056 in words is "two hundred forty-two billion, five hundred thirty-six million, five hundred ninety-seven thousand, fifty-six".