241755153230560 has 192 divisors, whose sum is σ = 611027849521152. Its totient is φ = 90177317502976.

The previous prime is 241755153230533. The next prime is 241755153230579. The reversal of 241755153230560 is 65032351557142.

It is a super-2 number, since 2×241755153230560² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41731359 + ... + 47170081.

It is an arithmetic number, because the mean of its divisors is an integer number (3182436716256).

Almost surely, 2^{241755153230560} is an apocalyptic number.

241755153230560 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 241755153230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305513924760576).

241755153230560 is an abundant number, since it is smaller than the sum of its proper divisors (369272696290592).

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

241755153230560 is a wasteful number, since it uses less digits than its factorization.

241755153230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439065 (or 5439057 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 49.

The spelling of 241755153230560 in words is "two hundred forty-one trillion, seven hundred fifty-five billion, one hundred fifty-three million, two hundred thirty thousand, five hundred sixty".