2133577329 has 32 divisors (see below), whose sum is σ = 3102188544. Its totient is φ = 1296509760.

The previous prime is 2133577321. The next prime is 2133577337. The reversal of 2133577329 is 9237753312.

It is an interprime number because it is at equal distance from previous prime (2133577321) and next prime (2133577337).

It is not a de Polignac number, because 2133577329 - 2³ = 2133577321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2133577321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196814 + ... + 2197784.

It is an arithmetic number, because the mean of its divisors is an integer number (96943392).

Almost surely, 2^2133577329 is an apocalyptic number.

It is an amenable number.

2133577329 is a deficient number, since it is larger than the sum of its proper divisors (968611215).

2133577329 is a wasteful number, since it uses less digits than its factorization.

2133577329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637.

The product of its digits is 238140, while the sum is 42.

The square root of 2133577329 is about 46190.6627902220. The cubic root of 2133577329 is about 1287.3682557753.

The spelling of 2133577329 in words is "two billion, one hundred thirty-three million, five hundred seventy-seven thousand, three hundred twenty-nine".