2133413064 has 24 divisors (see below), whose sum is σ = 5777993910. Its totient is φ = 711137664.

The previous prime is 2133413063. The next prime is 2133413077. The reversal of 2133413064 is 4603143312.

2133413064 is a `hidden beast` number, since 2 + 13 + 341 + 306 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1958062500 + 175350564 = 44250^2 + 13242^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2133413063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14815297 + ... + 14815440.

Almost surely, 2^2133413064 is an apocalyptic number.

2133413064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2133413064 is an abundant number, since it is smaller than the sum of its proper divisors (3644580846).

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

2133413064 is a wasteful number, since it uses less digits than its factorization.

2133413064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29630749 (or 29630742 counting only the distinct ones).

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

The square root of 2133413064 is about 46188.8846368907. The cubic root of 2133413064 is about 1287.3352165894.

Adding to 2133413064 its reverse (4603143312), we get a palindrome (6736556376).

The spelling of 2133413064 in words is "two billion, one hundred thirty-three million, four hundred thirteen thousand, sixty-four".