2425504400 has 120 divisors (see below), whose sum is σ = 6423693024. Its totient is φ = 872755200.

The previous prime is 2425504391. The next prime is 2425504439. The reversal of 2425504400 is 44055242.

It is a super-3 number, since 3×2425504400³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2425504400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423959 + ... + 429641.

Almost surely, 2^2425504400 is an apocalyptic number.

2425504400 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 2425504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211846512).

2425504400 is an abundant number, since it is smaller than the sum of its proper divisors (3998188624).

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

2425504400 is a wasteful number, since it uses less digits than its factorization.

2425504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2425504400 is about 49249.4101487520. The cubic root of 2425504400 is about 1343.5918338446.

Adding to 2425504400 its reverse (44055242), we get a palindrome (2469559642).

The spelling of 2425504400 in words is "two billion, four hundred twenty-five million, five hundred four thousand, four hundred".