2504400241 has 96 divisors (see below), whose sum is σ = 3430944000. Its totient is φ = 1810626048.

The previous prime is 2504400221. The next prime is 2504400263. The reversal of 2504400241 is 1420044052.

It is a happy number.

It is not a de Polignac number, because 2504400241 - 2²³ = 2496011633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2504400211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22976095 + ... + 22976203.

It is an arithmetic number, because the mean of its divisors is an integer number (35739000).

Almost surely, 2^2504400241 is an apocalyptic number.

It is an amenable number.

2504400241 is a deficient number, since it is larger than the sum of its proper divisors (926543759).

2504400241 is a wasteful number, since it uses less digits than its factorization.

2504400241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2504400241 is about 50043.9830649000. The cubic root of 2504400241 is about 1358.0046143606.

Adding to 2504400241 its reverse (1420044052), we get a palindrome (3924444293).

The spelling of 2504400241 in words is "two billion, five hundred four million, four hundred thousand, two hundred forty-one".