2130264306 has 128 divisors (see below), whose sum is σ = 5171040000. Its totient is φ = 647792640.

The previous prime is 2130264251. The next prime is 2130264329. The reversal of 2130264306 is 6034620312.

2130264306 is a `hidden beast` number, since 2 + 13 + 0 + 2 + 643 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2130264306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3743590 + ... + 3744158.

It is an arithmetic number, because the mean of its divisors is an integer number (40398750).

Almost surely, 2^2130264306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130264306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520000).

2130264306 is an abundant number, since it is smaller than the sum of its proper divisors (3040775694).

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

2130264306 is a wasteful number, since it uses less digits than its factorization.

2130264306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2130264306 is about 46154.7863823461. The cubic root of 2130264306 is about 1286.7015679395.

Adding to 2130264306 its reverse (6034620312), we get a palindrome (8164884618).

The spelling of 2130264306 in words is "two billion, one hundred thirty million, two hundred sixty-four thousand, three hundred six".