20330002000 has 240 divisors, whose sum is σ = 62385560640. Its totient is φ = 6336288000.

The previous prime is 20330001977. The next prime is 20330002003. The reversal of 20330002000 is 20003302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068571 + ... + 1087429.

It is an arithmetic number, because the mean of its divisors is an integer number (259939836).

Almost surely, 2^20330002000 is an apocalyptic number.

20330002000 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 20330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31192780320).

20330002000 is an abundant number, since it is smaller than the sum of its proper divisors (42055558640).

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

20330002000 is a wasteful number, since it uses less digits than its factorization.

20330002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907 (or 18884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 20330002000 its reverse (20003302), we get a palindrome (20350005302).

The spelling of 20330002000 in words is "twenty billion, three hundred thirty million, two thousand".