2623005329 has 12 divisors (see below), whose sum is σ = 3055068900. Its totient is φ = 2245477248.

The previous prime is 2623005257. The next prime is 2623005349. The reversal of 2623005329 is 9235003262.

2623005329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1844874304 + 778131025 = 42952^2 + 27895^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2623005329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2623005295 and 2623005304.

It is not an unprimeable number, because it can be changed into a prime (2623005349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6557 + ... + 72725.

It is an arithmetic number, because the mean of its divisors is an integer number (254589075).

Almost surely, 2^2623005329 is an apocalyptic number.

It is an amenable number.

2623005329 is a deficient number, since it is larger than the sum of its proper divisors (432063571).

2623005329 is an equidigital number, since it uses as much as digits as its factorization.

2623005329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66992 (or 66985 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 2623005329 is about 51215.2841347190. The cubic root of 2623005329 is about 1379.1125935534.

The spelling of 2623005329 in words is "two billion, six hundred twenty-three million, five thousand, three hundred twenty-nine".