2582824992 has 48 divisors (see below), whose sum is σ = 7396274592. Its totient is φ = 782673920.

The previous prime is 2582824967. The next prime is 2582825027. The reversal of 2582824992 is 2994282852.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1221873 + ... + 1223984.

It is an arithmetic number, because the mean of its divisors is an integer number (154089054).

Almost surely, 2^2582824992 is an apocalyptic number.

2582824992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2582824992 is an abundant number, since it is smaller than the sum of its proper divisors (4813449600).

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

2582824992 is a wasteful number, since it uses less digits than its factorization.

2582824992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445881 (or 2445873 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2582824992 is about 50821.5012765267. The cubic root of 2582824992 is about 1372.0343782380.

The spelling of 2582824992 in words is "two billion, five hundred eighty-two million, eight hundred twenty-four thousand, nine hundred ninety-two".