2589254082792 has 96 divisors (see below), whose sum is σ = 7555209742080. Its totient is φ = 796354012800.

The previous prime is 2589254082739. The next prime is 2589254082797. The reversal of 2589254082792 is 2972804529852.

2589254082792 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 2 + 540 + 82 + 7 + 9 + 2 = 666.

2589254082792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2589254082797) 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, 1612213 + ... + 2788859.

It is an arithmetic number, because the mean of its divisors is an integer number (78700101480).

Almost surely, 2^{2589254082792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589254082792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777604871040).

2589254082792 is an abundant number, since it is smaller than the sum of its proper divisors (4965955659288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2589254082792 is a wasteful number, since it uses less digits than its factorization.

2589254082792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179023 (or 1179016 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 2589254082792 in words is "two trillion, five hundred eighty-nine billion, two hundred fifty-four million, eighty-two thousand, seven hundred ninety-two".