2559365984241 has 24 divisors (see below), whose sum is σ = 4033540370496. Its totient is φ = 1550900118240.

The previous prime is 2559365984177. The next prime is 2559365984249. The reversal of 2559365984241 is 1424895639552.

2559365984241 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 36 + 598 + 4 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 2559365984241 - 2⁶ = 2559365984177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2559365984249) 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, 1253245 + ... + 2586378.

It is an arithmetic number, because the mean of its divisors is an integer number (168064182104).

Almost surely, 2^{2559365984241} is an apocalyptic number.

It is an amenable number.

2559365984241 is a deficient number, since it is larger than the sum of its proper divisors (1474174386255).

2559365984241 is a wasteful number, since it uses less digits than its factorization.

2559365984241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846373 (or 3846370 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 2559365984241 in words is "two trillion, five hundred fifty-nine billion, three hundred sixty-five million, nine hundred eighty-four thousand, two hundred forty-one".