2141030320 has 320 divisors, whose sum is σ = 6310846080. Its totient is φ = 663552000.

The previous prime is 2141030261. The next prime is 2141030321. The reversal of 2141030320 is 230301412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2141030294 and 2141030303.

It is not an unprimeable number, because it can be changed into a prime (2141030321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19642426 + ... + 19642534.

It is an arithmetic number, because the mean of its divisors is an integer number (19721394).

Almost surely, 2^2141030320 is an apocalyptic number.

2141030320 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 2141030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155423040).

2141030320 is an abundant number, since it is smaller than the sum of its proper divisors (4169815760).

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

2141030320 is a wasteful number, since it uses less digits than its factorization.

2141030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2141030320 is about 46271.2688393132. The cubic root of 2141030320 is about 1288.8655210235.

Adding to 2141030320 its reverse (230301412), we get a palindrome (2371331732).

The spelling of 2141030320 in words is "two billion, one hundred forty-one million, thirty thousand, three hundred twenty".