2230144000 has 352 divisors, whose sum is σ = 6744291840. Its totient is φ = 718848000.

The previous prime is 2230143983. The next prime is 2230144001. The reversal of 2230144000 is 4410322.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2230144001) 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 31 ways as a sum of consecutive naturals, for example, 17023935 + ... + 17024065.

It is an arithmetic number, because the mean of its divisors is an integer number (19159920).

Almost surely, 2^2230144000 is an apocalyptic number.

2230144000 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 2230144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372145920).

2230144000 is an abundant number, since it is smaller than the sum of its proper divisors (4514147840).

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

2230144000 is a wasteful number, since it uses less digits than its factorization.

2230144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230144000 is about 47224.4004726370. The cubic root of 2230144000 is about 1306.5046770356.

Adding to 2230144000 its reverse (4410322), we get a palindrome (2234554322).

The spelling of 2230144000 in words is "two billion, two hundred thirty million, one hundred forty-four thousand".