2000021000 has 64 divisors (see below), whose sum is σ = 4794294960. Its totient is φ = 780480000.

The previous prime is 2000020993. The next prime is 2000021003. The reversal of 2000021000 is 1200002.

It can be written as a sum of positive squares in 8 ways, for example, as 306040036 + 1693980964 = 17494^2 + 41158^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

2000021000 is a modest number, since divided by 21000 gives 2000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000021003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16610 + ... + 65390.

Almost surely, 2^2000021000 is an apocalyptic number.

2000021000 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 2000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397147480).

2000021000 is an abundant number, since it is smaller than the sum of its proper divisors (2794273960).

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

2000021000 is a wasteful number, since it uses less digits than its factorization.

2000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48843 (or 48829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2000021000 is about 44721.5943365171. The cubic root of 2000021000 is about 1259.9254596031.

Adding to 2000021000 its reverse (1200002), we get a palindrome (2001221002).

The spelling of 2000021000 in words is "two billion, twenty-one thousand".