2223436800 has 528 divisors, whose sum is σ = 8443334592. Its totient is φ = 511180800.

The previous prime is 2223436729. The next prime is 2223436801. The reversal of 2223436800 is 86343222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223436801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16972735 + ... + 16972865.

It is an arithmetic number, because the mean of its divisors is an integer number (15991164).

Almost surely, 2^2223436800 is an apocalyptic number.

2223436800 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 2223436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221667296).

2223436800 is an abundant number, since it is smaller than the sum of its proper divisors (6219897792).

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

2223436800 is a wasteful number, since it uses less digits than its factorization.

2223436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2223436800 is about 47153.3328620576. The cubic root of 2223436800 is about 1305.1935826507.

The spelling of 2223436800 in words is "two billion, two hundred twenty-three million, four hundred thirty-six thousand, eight hundred".