2261617729 has 16 divisors (see below), whose sum is σ = 2741689728. Its totient is φ = 1821203712.

The previous prime is 2261617717. The next prime is 2261617753. The reversal of 2261617729 is 9277161622.

It is a cyclic number.

It is not a de Polignac number, because 2261617729 - 2⁷ = 2261617601 is a prime.

It is a super-2 number, since 2×2261617729² = 10229829504254234882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261617829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50119 + ... + 83875.

It is an arithmetic number, because the mean of its divisors is an integer number (171355608).

Almost surely, 2^2261617729 is an apocalyptic number.

It is an amenable number.

2261617729 is a deficient number, since it is larger than the sum of its proper divisors (480071999).

2261617729 is a wasteful number, since it uses less digits than its factorization.

2261617729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34344.

The product of its digits is 127008, while the sum is 43.

The square root of 2261617729 is about 47556.4688449426. The cubic root of 2261617729 is about 1312.6221644596.

The spelling of 2261617729 in words is "two billion, two hundred sixty-one million, six hundred seventeen thousand, seven hundred twenty-nine".