2441532432320 has 448 divisors, whose sum is σ = 6313872015360. Its totient is φ = 897387724800.

The previous prime is 2441532432319. The next prime is 2441532432323. The reversal of 2441532432320 is 232342351442.

2441532432320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441532432320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441532432323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6442037891 + ... + 6442038269.

It is an arithmetic number, because the mean of its divisors is an integer number (14093464320).

Almost surely, 2^{2441532432320} is an apocalyptic number.

2441532432320 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 2441532432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156936007680).

2441532432320 is an abundant number, since it is smaller than the sum of its proper divisors (3872339583040).

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

2441532432320 is a wasteful number, since it uses less digits than its factorization.

2441532432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 2441532432320 its reverse (232342351442), we get a palindrome (2673874783762).

The spelling of 2441532432320 in words is "two trillion, four hundred forty-one billion, five hundred thirty-two million, four hundred thirty-two thousand, three hundred twenty".