2130330312 has 144 divisors (see below), whose sum is σ = 6643756080. Its totient is φ = 611496000.

The previous prime is 2130330277. The next prime is 2130330317.

2130330312 is a `hidden beast` number, since 21 + 3 + 0 + 330 + 312 = 666.

2130330312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2130330317) 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 35 ways as a sum of consecutive naturals, for example, 282187 + ... + 289637.

It is an arithmetic number, because the mean of its divisors is an integer number (46137195).

Almost surely, 2^2130330312 is an apocalyptic number.

2130330312 is a gapful number since it is divisible by the number (22) 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 2130330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321878040).

2130330312 is an abundant number, since it is smaller than the sum of its proper divisors (4513425768).

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

2130330312 is a wasteful number, since it uses less digits than its factorization.

2130330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2130330312 is about 46155.5014272405. The cubic root of 2130330312 is about 1286.7148572368.

It can be divided in two parts, 21303 and 30312, that added together give a palindrome (51615).

The spelling of 2130330312 in words is "two billion, one hundred thirty million, three hundred thirty thousand, three hundred twelve".