2504442304 has 112 divisors (see below), whose sum is σ = 6136119808. Its totient is φ = 987614208.

The previous prime is 2504442299. The next prime is 2504442313. The reversal of 2504442304 is 4032444052.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 2835847 + ... + 2836729.

It is an arithmetic number, because the mean of its divisors is an integer number (54786784).

Almost surely, 2^2504442304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068059904).

2504442304 is an abundant number, since it is smaller than the sum of its proper divisors (3631677504).

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

2504442304 is a wasteful number, since it uses less digits than its factorization.

2504442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 2504442304 is about 50044.4033234487. The cubic root of 2504442304 is about 1358.0122171694.

Adding to 2504442304 its reverse (4032444052), we get a palindrome (6536886356).

The spelling of 2504442304 in words is "two billion, five hundred four million, four hundred forty-two thousand, three hundred four".