241064556252000 has 768 divisors, whose sum is σ = 861121746680832. Its totient is φ = 58596850483200.

The previous prime is 241064556251947. The next prime is 241064556252007. The reversal of 241064556252000 is 252655460142.

It is a happy number.

It is a super-2 number, since 2×241064556252000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241064556252007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53773041759 + ... + 53773046241.

It is an arithmetic number, because the mean of its divisors is an integer number (1121252274324).

Almost surely, 2^{241064556252000} is an apocalyptic number.

241064556252000 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 241064556252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430560873340416).

241064556252000 is an abundant number, since it is smaller than the sum of its proper divisors (620057190428832).

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

241064556252000 is a wasteful number, since it uses less digits than its factorization.

241064556252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 241064556252000 in words is "two hundred forty-one trillion, sixty-four billion, five hundred fifty-six million, two hundred fifty-two thousand".