2541232320 has 336 divisors, whose sum is σ = 8989795584. Its totient is φ = 607692800.

The previous prime is 2541232307. The next prime is 2541232339. The reversal of 2541232320 is 232321452.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15216877 + ... + 15217043.

It is an arithmetic number, because the mean of its divisors is an integer number (26755344).

Almost surely, 2^2541232320 is an apocalyptic number.

2541232320 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 2541232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494897792).

2541232320 is an abundant number, since it is smaller than the sum of its proper divisors (6448563264).

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

2541232320 is a wasteful number, since it uses less digits than its factorization.

2541232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2541232320 is about 50410.6369727660. The cubic root of 2541232320 is about 1364.6296087445.

Adding to 2541232320 its reverse (232321452), we get a palindrome (2773553772).

The spelling of 2541232320 in words is "two billion, five hundred forty-one million, two hundred thirty-two thousand, three hundred twenty".