2225312350400 has 84 divisors (see below), whose sum is σ = 5476026622728. Its totient is φ = 890065213440.

The previous prime is 2225312350367. The next prime is 2225312350427. The reversal of 2225312350400 is 40532135222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29749847 + ... + 29824553.

Almost surely, 2^{2225312350400} is an apocalyptic number.

2225312350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225312350400 is an abundant number, since it is smaller than the sum of its proper divisors (3250714272328).

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

2225312350400 is a wasteful number, since it uses less digits than its factorization.

2225312350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93346 (or 93331 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 2225312350400 its reverse (40532135222), we get a palindrome (2265844485622).

The spelling of 2225312350400 in words is "two trillion, two hundred twenty-five billion, three hundred twelve million, three hundred fifty thousand, four hundred".