2504464224 has 96 divisors (see below), whose sum is σ = 6729972480. Its totient is φ = 815270400.

The previous prime is 2504464223. The next prime is 2504464247. The reversal of 2504464224 is 4224644052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504464223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741259 + ... + 744629.

It is an arithmetic number, because the mean of its divisors is an integer number (70103880).

Almost surely, 2^2504464224 is an apocalyptic number.

2504464224 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 2504464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364986240).

2504464224 is an abundant number, since it is smaller than the sum of its proper divisors (4225508256).

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

2504464224 is a wasteful number, since it uses less digits than its factorization.

2504464224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 2504464224 is about 50044.6223284780. The cubic root of 2504464224 is about 1358.0161791347.

The spelling of 2504464224 in words is "two billion, five hundred four million, four hundred sixty-four thousand, two hundred twenty-four".