2133152460 has 72 divisors (see below), whose sum is σ = 6487078416. Its totient is φ = 567388800.

The previous prime is 2133152447. The next prime is 2133152467. The reversal of 2133152460 is 642513312.

2133152460 is a `hidden beast` number, since 2 + 133 + 1 + 524 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2133152467) 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 23 ways as a sum of consecutive naturals, for example, 56535 + ... + 86385.

Almost surely, 2^2133152460 is an apocalyptic number.

2133152460 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 2133152460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243539208).

2133152460 is an abundant number, since it is smaller than the sum of its proper divisors (4353925956).

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

2133152460 is a wasteful number, since it uses less digits than its factorization.

2133152460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30263 (or 30258 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2133152460 is about 46186.0634823969. The cubic root of 2133152460 is about 1287.2827969286.

Adding to 2133152460 its reverse (642513312), we get a palindrome (2775665772).

The spelling of 2133152460 in words is "two billion, one hundred thirty-three million, one hundred fifty-two thousand, four hundred sixty".