2002130000 has 100 divisors (see below), whose sum is σ = 5220569508. Its totient is φ = 739200000.

The previous prime is 2002129993. The next prime is 2002130003. The reversal of 2002130000 is 312002.

It can be written as a sum of positive squares in 10 ways, for example, as 1252027456 + 750102544 = 35384^2 + 27388^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2002130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002130003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122300 + ... + 137700.

Almost surely, 2^2002130000 is an apocalyptic number.

2002130000 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 2002130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610284754).

2002130000 is an abundant number, since it is smaller than the sum of its proper divisors (3218439508).

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

2002130000 is a wasteful number, since it uses less digits than its factorization.

2002130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2002130000 is about 44745.1673368197. The cubic root of 2002130000 is about 1260.3681631799.

Adding to 2002130000 its reverse (312002), we get a palindrome (2002442002).

The spelling of 2002130000 in words is "two billion, two million, one hundred thirty thousand".