2227824000 has 448 divisors, whose sum is σ = 8348071680. Its totient is φ = 590976000.

The previous prime is 2227823989. The next prime is 2227824019. The reversal of 2227824000 is 4287222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11663905 + ... + 11664095.

Almost surely, 2^2227824000 is an apocalyptic number.

2227824000 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 2227824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174035840).

2227824000 is an abundant number, since it is smaller than the sum of its proper divisors (6120247680).

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

2227824000 is an frugal number, since it uses more digits than its factorization.

2227824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2227824000 is about 47199.8305081703. The cubic root of 2227824000 is about 1306.0514712440.

The spelling of 2227824000 in words is "two billion, two hundred twenty-seven million, eight hundred twenty-four thousand".