2589935472 has 100 divisors (see below), whose sum is σ = 7698762456. Its totient is φ = 839963520.

The previous prime is 2589935443. The next prime is 2589935473. The reversal of 2589935472 is 2745399852.

2589935472 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 93 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589935473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20947 + ... + 74957.

Almost surely, 2^2589935472 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 2589935472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849381228).

2589935472 is an abundant number, since it is smaller than the sum of its proper divisors (5108826984).

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

2589935472 is a wasteful number, since it uses less digits than its factorization.

2589935472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54068 (or 54053 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 2589935472 is about 50891.4086266042. The cubic root of 2589935472 is about 1373.2922882340.

The spelling of 2589935472 in words is "two billion, five hundred eighty-nine million, nine hundred thirty-five thousand, four hundred seventy-two".