2504413104 has 80 divisors (see below), whose sum is σ = 6906343680. Its totient is φ = 779708160.

The previous prime is 2504413099. The next prime is 2504413147. The reversal of 2504413104 is 4013144052.

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 15 ways as a sum of consecutive naturals, for example, 45414 + ... + 84090.

It is an arithmetic number, because the mean of its divisors is an integer number (86329296).

Almost surely, 2^2504413104 is an apocalyptic number.

2504413104 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 2504413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453171840).

2504413104 is an abundant number, since it is smaller than the sum of its proper divisors (4401930576).

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

2504413104 is a wasteful number, since it uses less digits than its factorization.

2504413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38778 (or 38772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2504413104 is about 50044.1115816836. Note that the first 3 decimals coincide. The cubic root of 2504413104 is about 1358.0069393329.

Adding to 2504413104 its reverse (4013144052), we get a palindrome (6517557156).

The spelling of 2504413104 in words is "two billion, five hundred four million, four hundred thirteen thousand, one hundred four".