2504450400 has 72 divisors (see below), whose sum is σ = 8151993864. Its totient is φ = 667852800.

The previous prime is 2504450371. The next prime is 2504450449. The reversal of 2504450400 is 40544052.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 519361 + ... + 524160.

It is an arithmetic number, because the mean of its divisors is an integer number (113222137).

Almost surely, 2^2504450400 is an apocalyptic number.

2504450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504450400 is an abundant number, since it is smaller than the sum of its proper divisors (5647543464).

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

2504450400 is a wasteful number, since it uses less digits than its factorization.

2504450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043544 (or 1043531 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2504450400 is about 50044.4842115492. The cubic root of 2504450400 is about 1358.0136804965.

Adding to 2504450400 its reverse (40544052), we get a palindrome (2544994452).

The spelling of 2504450400 in words is "two billion, five hundred four million, four hundred fifty thousand, four hundred".