2504450440 has 64 divisors (see below), whose sum is σ = 5841460800. Its totient is φ = 965223168.

The previous prime is 2504450371. The next prime is 2504450449. The reversal of 2504450440 is 440544052.

It is a junction number, because it is equal to n+sod(n) for n = 2504450399 and 2504450408.

It is not an unprimeable number, because it can be changed into a prime (2504450449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632547 + ... + 636493.

It is an arithmetic number, because the mean of its divisors is an integer number (91272825).

Almost surely, 2^2504450440 is an apocalyptic number.

2504450440 is a gapful number since it is divisible by the number (20) 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 2504450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920730400).

2504450440 is an abundant number, since it is smaller than the sum of its proper divisors (3337010360).

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

2504450440 is a wasteful number, since it uses less digits than its factorization.

2504450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2504450440 is about 50044.4846111937. The cubic root of 2504450440 is about 1358.0136877264.

Adding to 2504450440 its reverse (440544052), we get a palindrome (2944994492).

The spelling of 2504450440 in words is "two billion, five hundred four million, four hundred fifty thousand, four hundred forty".