20033002000 has 120 divisors (see below), whose sum is σ = 53244389016. Its totient is φ = 7284640000.

The previous prime is 20033001997. The next prime is 20033002021. The reversal of 20033002000 is 20033002.

It can be written as a sum of positive squares in 4 ways, for example, as 3559792896 + 16473209104 = 59664^2 + 128348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200610 + ... + 283390.

Almost surely, 2^20033002000 is an apocalyptic number.

20033002000 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 20033002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622194508).

20033002000 is an abundant number, since it is smaller than the sum of its proper divisors (33211387016).

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

20033002000 is a wasteful number, since it uses less digits than its factorization.

20033002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82826 (or 82799 counting only the distinct ones).

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

Adding to 20033002000 its reverse (20033002), we get a palindrome (20053035002).

20033002000 divided by its reverse (20033002) gives a cube (1000 = 10³).

It can be divided in two parts, 2003 and 3002000, that added together give a palindrome (3004003).

The spelling of 20033002000 in words is "twenty billion, thirty-three million, two thousand".