242611536960 has 1120 divisors, whose sum is σ = 1009045410912. Its totient is φ = 54782853120.

The previous prime is 242611536949. The next prime is 242611537013. The reversal of 242611536960 is 69635116242.

242611536960 is a `hidden beast` number, since 2 + 4 + 26 + 1 + 1 + 536 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 54554010624 + 188057526336 = 233568^2 + 433656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 234860604 + ... + 234861636.

Almost surely, 2^242611536960 is an apocalyptic number.

242611536960 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 242611536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504522705456).

242611536960 is an abundant number, since it is smaller than the sum of its proper divisors (766433873952).

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

242611536960 is a wasteful number, since it uses less digits than its factorization.

242611536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 242611536960 in words is "two hundred forty-two billion, six hundred eleven million, five hundred thirty-six thousand, nine hundred sixty".