241538605560 has 256 divisors, whose sum is σ = 921003033600. Its totient is φ = 55157469696.

The previous prime is 241538605547. The next prime is 241538605579. The reversal of 241538605560 is 65506835142.

241538605560 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 3 + 86 + 0 + 5 + 560 = 666.

241538605560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8430219 + ... + 8458821.

It is an arithmetic number, because the mean of its divisors is an integer number (3597668100).

Almost surely, 2^241538605560 is an apocalyptic number.

241538605560 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 241538605560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460501516800).

241538605560 is an abundant number, since it is smaller than the sum of its proper divisors (679464428040).

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

241538605560 is a wasteful number, since it uses less digits than its factorization.

241538605560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29747 (or 29737 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 241538605560 in words is "two hundred forty-one billion, five hundred thirty-eight million, six hundred five thousand, five hundred sixty".