2130202000 has 80 divisors (see below), whose sum is σ = 5453905392. Its totient is φ = 801945600.

The previous prime is 2130201991. The next prime is 2130202031. The reversal of 2130202000 is 2020312.

It can be written as a sum of positive squares in 8 ways, for example, as 637461504 + 1492740496 = 25248^2 + 38636^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2674 + ... + 65326.

Almost surely, 2^2130202000 is an apocalyptic number.

2130202000 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 2130202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726952696).

2130202000 is an abundant number, since it is smaller than the sum of its proper divisors (3323703392).

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

2130202000 is a wasteful number, since it uses less digits than its factorization.

2130202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62693 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2130202000 is about 46154.1114094942. Note that the first 3 decimals coincide. The cubic root of 2130202000 is about 1286.6890233288.

Adding to 2130202000 its reverse (2020312), we get a palindrome (2132222312).

The spelling of 2130202000 in words is "two billion, one hundred thirty million, two hundred two thousand".