241120002960 has 200 divisors, whose sum is σ = 838054571640. Its totient is φ = 64251906048.

The previous prime is 241120002943. The next prime is 241120002961. The reversal of 241120002960 is 69200021142.

It can be written as a sum of positive squares in 4 ways, for example, as 172829769984 + 68290232976 = 415728^2 + 261324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241120002961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9402636 + ... + 9428244.

Almost surely, 2^241120002960 is an apocalyptic number.

241120002960 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 241120002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419027285820).

241120002960 is an abundant number, since it is smaller than the sum of its proper divisors (596934568680).

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

241120002960 is a wasteful number, since it uses less digits than its factorization.

241120002960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27087 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 241120002960 in words is "two hundred forty-one billion, one hundred twenty million, two thousand, nine hundred sixty".