2223820800 has 468 divisors, whose sum is σ = 8450490880. Its totient is φ = 557383680.

The previous prime is 2223820783. The next prime is 2223820811. The reversal of 2223820800 is 80283222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17510337 + ... + 17510463.

Almost surely, 2^2223820800 is an apocalyptic number.

2223820800 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 2223820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225245440).

2223820800 is an abundant number, since it is smaller than the sum of its proper divisors (6226670080).

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

2223820800 is a wasteful number, since it uses less digits than its factorization.

2223820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2223820800 is about 47157.4045087301. The cubic root of 2223820800 is about 1305.2687164084.

The spelling of 2223820800 in words is "two billion, two hundred twenty-three million, eight hundred twenty thousand, eight hundred".