2259441261 has 48 divisors (see below), whose sum is σ = 4076187648. Its totient is φ = 1171648800.

The previous prime is 2259441241. The next prime is 2259441277. The reversal of 2259441261 is 1621449522.

It is a happy number.

2259441261 is a `hidden beast` number, since 2 + 2 + 594 + 4 + 1 + 2 + 61 = 666.

2259441261 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 2259441261 - 2⁹ = 2259440749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259441241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434700 + ... + 439866.

It is an arithmetic number, because the mean of its divisors is an integer number (84920576).

Almost surely, 2^2259441261 is an apocalyptic number.

2259441261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2259441261 is a deficient number, since it is larger than the sum of its proper divisors (1816746387).

2259441261 is a wasteful number, since it uses less digits than its factorization.

2259441261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5819 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2259441261 is about 47533.5803511581. The cubic root of 2259441261 is about 1312.2009619680.

The spelling of 2259441261 in words is "two billion, two hundred fifty-nine million, four hundred forty-one thousand, two hundred sixty-one".