2559672765 has 64 divisors (see below), whose sum is σ = 5033145600. Its totient is φ = 1226057472.

The previous prime is 2559672743. The next prime is 2559672767. The reversal of 2559672765 is 5672769552.

2559672765 is a `hidden beast` number, since 2 + 559 + 6 + 7 + 27 + 65 = 666.

It is not a de Polignac number, because 2559672765 - 2⁸ = 2559672509 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559672767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45226 + ... + 84644.

It is an arithmetic number, because the mean of its divisors is an integer number (78642900).

Almost surely, 2^2559672765 is an apocalyptic number.

It is an amenable number.

2559672765 is a deficient number, since it is larger than the sum of its proper divisors (2473472835).

2559672765 is a wasteful number, since it uses less digits than its factorization.

2559672765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39483 (or 39477 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The square root of 2559672765 is about 50593.2086845656. The cubic root of 2559672765 is about 1367.9224669431.

The spelling of 2559672765 in words is "two billion, five hundred fifty-nine million, six hundred seventy-two thousand, seven hundred sixty-five".