2225776000 has 384 divisors, whose sum is σ = 6856799040. Its totient is φ = 713932800.

The previous prime is 2225775997. The next prime is 2225776001. The reversal of 2225776000 is 6775222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225776001) 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, 13327917 + ... + 13328083.

Almost surely, 2^2225776000 is an apocalyptic number.

2225776000 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 2225776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428399520).

2225776000 is an abundant number, since it is smaller than the sum of its proper divisors (4631023040).

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

2225776000 is a wasteful number, since it uses less digits than its factorization.

2225776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2225776000 is about 47178.1305267600. The cubic root of 2225776000 is about 1305.6511383837.

The spelling of 2225776000 in words is "two billion, two hundred twenty-five million, seven hundred seventy-six thousand".