2000224830 has 64 divisors (see below), whose sum is σ = 5012720640. Its totient is φ = 510163584.

The previous prime is 2000224817. The next prime is 2000224841. The reversal of 2000224830 is 384220002.

It is a junction number, because it is equal to n+sod(n) for n = 2000224797 and 2000224806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82347 + ... + 103833.

It is an arithmetic number, because the mean of its divisors is an integer number (78323760).

Almost surely, 2^2000224830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000224830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506360320).

2000224830 is an abundant number, since it is smaller than the sum of its proper divisors (3012495810).

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

2000224830 is a wasteful number, since it uses less digits than its factorization.

2000224830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21633.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2000224830 is about 44723.8731551730. The cubic root of 2000224830 is about 1259.9682594675.

Adding to 2000224830 its reverse (384220002), we get a palindrome (2384444832).

The spelling of 2000224830 in words is "two billion, two hundred twenty-four thousand, eight hundred thirty".