2268872261 has 2 divisors, whose sum is σ = 2268872262. Its totient is φ = 2268872260.

The previous prime is 2268872183. The next prime is 2268872267. The reversal of 2268872261 is 1622788622.

2268872261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2002562500 + 266309761 = 44750^2 + 16319^2 .

It is a cyclic number.

It is not a de Polignac number, because 2268872261 - 2¹⁴ = 2268855877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2268872267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1134436130 + 1134436131.

It is an arithmetic number, because the mean of its divisors is an integer number (1134436131).

Almost surely, 2^2268872261 is an apocalyptic number.

It is an amenable number.

2268872261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2268872261 is an equidigital number, since it uses as much as digits as its factorization.

2268872261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 258048, while the sum is 44.

The square root of 2268872261 is about 47632.6805985135. The cubic root of 2268872261 is about 1314.0241544056.

It can be divided in two parts, 22688 and 72261, that added together give a palindrome (94949).

The spelling of 2268872261 in words is "two billion, two hundred sixty-eight million, eight hundred seventy-two thousand, two hundred sixty-one".