2301141044224 has 88 divisors (see below), whose sum is σ = 5019083122176. Its totient is φ = 1045793280000.

The previous prime is 2301141044221. The next prime is 2301141044231. The reversal of 2301141044224 is 4224401411032.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×2301141044224² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301141044192 and 2301141044201.

It is not an unprimeable number, because it can be changed into a prime (2301141044221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82787769 + ... + 82815559.

Almost surely, 2^{2301141044224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301141044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509541561088).

2301141044224 is an abundant number, since it is smaller than the sum of its proper divisors (2717942077952).

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

2301141044224 is a wasteful number, since it uses less digits than its factorization.

2301141044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35173 (or 35155 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 2301141044224 its reverse (4224401411032), we get a palindrome (6525542455256).

The spelling of 2301141044224 in words is "two trillion, three hundred one billion, one hundred forty-one million, forty-four thousand, two hundred twenty-four".