2130340320 has 144 divisors (see below), whose sum is σ = 7447304592. Its totient is φ = 554219520.

The previous prime is 2130340313. The next prime is 2130340337. The reversal of 2130340320 is 230430312.

2130340320 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 340 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2130340293 and 2130340302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40999 + ... + 77081.

It is an arithmetic number, because the mean of its divisors is an integer number (51717393).

Almost surely, 2^2130340320 is an apocalyptic number.

2130340320 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 2130340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723652296).

2130340320 is an abundant number, since it is smaller than the sum of its proper divisors (5316964272).

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

2130340320 is a wasteful number, since it uses less digits than its factorization.

2130340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36145 (or 36134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2130340320 is about 46155.6098432249. The cubic root of 2130340320 is about 1286.7168721703.

Adding to 2130340320 its reverse (230430312), we get a palindrome (2360770632).

The spelling of 2130340320 in words is "two billion, one hundred thirty million, three hundred forty thousand, three hundred twenty".