2261005263 has 24 divisors (see below), whose sum is σ = 3750314880. Its totient is φ = 1298183760.

The previous prime is 2261005237. The next prime is 2261005273. The reversal of 2261005263 is 3625001622.

2261005263 is a `hidden beast` number, since 22 + 610 + 0 + 5 + 26 + 3 = 666.

2261005263 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 2261005263 - 2¹² = 2261001167 is a prime.

It is a super-2 number, since 2×2261005263² = 10224289598627398338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261005223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599131 + ... + 602892.

It is an arithmetic number, because the mean of its divisors is an integer number (156263120).

Almost surely, 2^2261005263 is an apocalyptic number.

2261005263 is a deficient number, since it is larger than the sum of its proper divisors (1489309617).

2261005263 is a wasteful number, since it uses less digits than its factorization.

2261005263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202059 (or 1202056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2261005263 is about 47550.0290536189. The cubic root of 2261005263 is about 1312.5036638809.

Adding to 2261005263 its reverse (3625001622), we get a palindrome (5886006885).

The spelling of 2261005263 in words is "two billion, two hundred sixty-one million, five thousand, two hundred sixty-three".