2425600400 has 30 divisors (see below), whose sum is σ = 5827505922. Its totient is φ = 970240000.

The previous prime is 2425600399. The next prime is 2425600417. The reversal of 2425600400 is 40065242.

It can be written as a sum of positive squares in 3 ways, for example, as 87684496 + 2337915904 = 9364^2 + 48352^2 .

It is a super-3 number, since 3×2425600400³ (a number of 29 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3031601 + ... + 3032400.

Almost surely, 2^2425600400 is an apocalyptic number.

2425600400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2425600400 is an abundant number, since it is smaller than the sum of its proper divisors (3401905522).

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

2425600400 is a wasteful number, since it uses less digits than its factorization.

2425600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064019 (or 6064008 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2425600400 is about 49250.3847700706. The cubic root of 2425600400 is about 1343.6095597953.

Adding to 2425600400 its reverse (40065242), we get a palindrome (2465665642).

The spelling of 2425600400 in words is "two billion, four hundred twenty-five million, six hundred thousand, four hundred".