2629608289 has 16 divisors (see below), whose sum is σ = 3279735936. Its totient is φ = 2048256000.

The previous prime is 2629608287. The next prime is 2629608307. The reversal of 2629608289 is 9828069262.

2629608289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2629608289 - 2¹ = 2629608287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2629608281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269089 + ... + 278689.

It is an arithmetic number, because the mean of its divisors is an integer number (204983496).

Almost surely, 2^2629608289 is an apocalyptic number.

It is an amenable number.

2629608289 is a deficient number, since it is larger than the sum of its proper divisors (650127647).

2629608289 is a wasteful number, since it uses less digits than its factorization.

2629608289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13176.

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 2629608289 is about 51279.7064051658. The cubic root of 2629608289 is about 1380.2688492861.

The spelling of 2629608289 in words is "two billion, six hundred twenty-nine million, six hundred eight thousand, two hundred eighty-nine".