2609881569 has 9 divisors (see below), whose sum is σ = 3770050323. Its totient is φ = 1739818872.

The previous prime is 2609881567. The next prime is 2609881607. The reversal of 2609881569 is 9651889062.

It is a happy number.

The square root of 2609881569 is 51087.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2087301969 + 522579600 = 45687^2 + 22860^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2609881569 - 2¹ = 2609881567 is a prime.

It is a super-3 number, since 3×2609881569³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2609881567) 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 8 ways as a sum of consecutive naturals, for example, 144747 + ... + 161775.

Almost surely, 2^2609881569 is an apocalyptic number.

2609881569 is the 51087-th square number.

2609881569 is the 25544-th centered octagonal number.

It is an amenable number.

2609881569 is a deficient number, since it is larger than the sum of its proper divisors (1160168754).

2609881569 is an frugal number, since it uses more digits than its factorization.

2609881569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34064 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The cubic root of 2609881569 is about 1376.8086952985.

The spelling of 2609881569 in words is "two billion, six hundred nine million, eight hundred eighty-one thousand, five hundred sixty-nine".