2261491817 has 16 divisors (see below), whose sum is σ = 2511465600. Its totient is φ = 2023056000.

The previous prime is 2261491807. The next prime is 2261491831. The reversal of 2261491817 is 7181941622.

It is a cyclic number.

It is not a de Polignac number, because 2261491817 - 2¹² = 2261487721 is a prime.

It is a super-3 number, since 3×2261491817³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261491807) 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, 66434 + ... + 94532.

It is an arithmetic number, because the mean of its divisors is an integer number (156966600).

Almost surely, 2^2261491817 is an apocalyptic number.

It is an amenable number.

2261491817 is a deficient number, since it is larger than the sum of its proper divisors (249973783).

2261491817 is a wasteful number, since it uses less digits than its factorization.

2261491817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28304.

The product of its digits is 48384, while the sum is 41.

The square root of 2261491817 is about 47555.1450108188. The cubic root of 2261491817 is about 1312.5978046179.

The spelling of 2261491817 in words is "two billion, two hundred sixty-one million, four hundred ninety-one thousand, eight hundred seventeen".