2541331224 has 96 divisors (see below), whose sum is σ = 7328543040. Its totient is φ = 792806400.

The previous prime is 2541331217. The next prime is 2541331253. The reversal of 2541331224 is 4221331452.

2541331224 is a `hidden beast` number, since 25 + 413 + 3 + 1 + 224 = 666.

2541331224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215809 + ... + 227279.

It is an arithmetic number, because the mean of its divisors is an integer number (76338990).

Almost surely, 2^2541331224 is an apocalyptic number.

2541331224 is a gapful number since it is divisible by the number (24) 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 2541331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664271520).

2541331224 is an abundant number, since it is smaller than the sum of its proper divisors (4787211816).

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

2541331224 is a wasteful number, since it uses less digits than its factorization.

2541331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11674 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2541331224 is about 50411.6179466599. The cubic root of 2541331224 is about 1364.6473121733.

Adding to 2541331224 its reverse (4221331452), we get a palindrome (6762662676).

The spelling of 2541331224 in words is "two billion, five hundred forty-one million, three hundred thirty-one thousand, two hundred twenty-four".