2589793632 has 144 divisors (see below), whose sum is σ = 7782006960. Its totient is φ = 814703616.

The previous prime is 2589793631. The next prime is 2589793663. The reversal of 2589793632 is 2363979852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (2589793631) 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, 1733878 + ... + 1735370.

It is an arithmetic number, because the mean of its divisors is an integer number (54041715).

Almost surely, 2^2589793632 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 2589793632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891003480).

2589793632 is an abundant number, since it is smaller than the sum of its proper divisors (5192213328).

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

2589793632 is a wasteful number, since it uses less digits than its factorization.

2589793632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 2589793632 is about 50890.0150520709. The cubic root of 2589793632 is about 1373.2672179396.

The spelling of 2589793632 in words is "two billion, five hundred eighty-nine million, seven hundred ninety-three thousand, six hundred thirty-two".