2000332224 has 168 divisors, whose sum is σ = 6362029440. Its totient is φ = 595776000.

The previous prime is 2000332223. The next prime is 2000332237. The reversal of 2000332224 is 4222330002.

2000332224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000332197 and 2000332206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000332223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371149 + ... + 376499.

Almost surely, 2^2000332224 is an apocalyptic number.

2000332224 is a gapful number since it is divisible by the number (24) 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 2000332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181014720).

2000332224 is an abundant number, since it is smaller than the sum of its proper divisors (4361697216).

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

2000332224 is a wasteful number, since it uses less digits than its factorization.

2000332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2000332224 is about 44725.0737729967. The cubic root of 2000332224 is about 1259.9908087009.

Adding to 2000332224 its reverse (4222330002), we get a palindrome (6222662226).

The spelling of 2000332224 in words is "two billion, three hundred thirty-two thousand, two hundred twenty-four".