2082595424 has 96 divisors (see below), whose sum is σ = 5091750720. Its totient is φ = 816463872.

The previous prime is 2082595379. The next prime is 2082595429. The reversal of 2082595424 is 4245952802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082595429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325892 + ... + 332220.

It is an arithmetic number, because the mean of its divisors is an integer number (53039070).

Almost surely, 2^2082595424 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 2082595424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545875360).

2082595424 is an abundant number, since it is smaller than the sum of its proper divisors (3009155296).

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

2082595424 is a wasteful number, since it uses less digits than its factorization.

2082595424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 2082595424 is about 45635.4623511146. The cubic root of 2082595424 is about 1277.0315783472.

The spelling of 2082595424 in words is "two billion, eighty-two million, five hundred ninety-five thousand, four hundred twenty-four".