2225130400 has 288 divisors, whose sum is σ = 6047612928. Its totient is φ = 796646400.

The previous prime is 2225130379. The next prime is 2225130409. The reversal of 2225130400 is 40315222.

It is not an unprimeable number, because it can be changed into a prime (2225130409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26808759 + ... + 26808841.

It is an arithmetic number, because the mean of its divisors is an integer number (20998656).

Almost surely, 2^2225130400 is an apocalyptic number.

2225130400 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 2225130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023806464).

2225130400 is an abundant number, since it is smaller than the sum of its proper divisors (3822482528).

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

2225130400 is a wasteful number, since it uses less digits than its factorization.

2225130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2225130400 is about 47171.2878772670. The cubic root of 2225130400 is about 1305.5248887990.

Adding to 2225130400 its reverse (40315222), we get a palindrome (2265445622).

The spelling of 2225130400 in words is "two billion, two hundred twenty-five million, one hundred thirty thousand, four hundred".