2225350400 has 216 divisors, whose sum is σ = 6780961824. Its totient is φ = 704102400.

The previous prime is 2225350367. The next prime is 2225350427. The reversal of 2225350400 is 40535222.

It is a congruent number.

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, 580490 + ... + 584310.

Almost surely, 2^2225350400 is an apocalyptic number.

2225350400 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 2225350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390480912).

2225350400 is an abundant number, since it is smaller than the sum of its proper divisors (4555611424).

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

2225350400 is a wasteful number, since it uses less digits than its factorization.

2225350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2225350400 is about 47173.6197466338. The cubic root of 2225350400 is about 1305.5679133951.

Adding to 2225350400 its reverse (40535222), we get a palindrome (2265885622).

The spelling of 2225350400 in words is "two billion, two hundred twenty-five million, three hundred fifty thousand, four hundred".