241542760900 has 405 divisors, whose sum is σ = 660749959079. Its totient is φ = 76622138880.

The previous prime is 241542760897. The next prime is 241542760919. The reversal of 241542760900 is 9067245142.

The square root of 241542760900 is 491470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5649927556 + 235892833344 = 75166^2 + 485688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4093945071 + ... + 4093945129.

Almost surely, 2^241542760900 is an apocalyptic number.

241542760900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241542760900 is the 491470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241542760900

241542760900 is an abundant number, since it is smaller than the sum of its proper divisors (419207198179).

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

241542760900 is an equidigital number, since it uses as much as digits as its factorization.

241542760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 241542760900 in words is "two hundred forty-one billion, five hundred forty-two million, seven hundred sixty thousand, nine hundred".