2259633105 has 80 divisors (see below), whose sum is σ = 4204080144. Its totient is φ = 1160179200.

The previous prime is 2259633097. The next prime is 2259633151. The reversal of 2259633105 is 5013369522.

2259633105 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 633 + 10 + 5 = 666.

2259633105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 849780801 + 1409852304 = 29151^2 + 37548^2 .

It is not a de Polignac number, because 2259633105 - 2³ = 2259633097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2259633105.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1512739 + ... + 1514231.

Almost surely, 2^2259633105 is an apocalyptic number.

It is an amenable number.

2259633105 is a deficient number, since it is larger than the sum of its proper divisors (1944447039).

2259633105 is a wasteful number, since it uses less digits than its factorization.

2259633105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2259633105 is about 47535.5982922273. The cubic root of 2259633105 is about 1312.2380995798.

The spelling of 2259633105 in words is "two billion, two hundred fifty-nine million, six hundred thirty-three thousand, one hundred five".