2582824993 has 8 divisors (see below), whose sum is σ = 2957047488. Its totient is φ = 2209914384.

The previous prime is 2582824967. The next prime is 2582825027. The reversal of 2582824993 is 3994282852.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2582824993 - 2⁹ = 2582824481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2582824993.

It is not an unprimeable number, because it can be changed into a prime (2582824903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323746 + ... + 331627.

It is an arithmetic number, because the mean of its divisors is an integer number (369630936).

Almost surely, 2^2582824993 is an apocalyptic number.

It is an amenable number.

2582824993 is a deficient number, since it is larger than the sum of its proper divisors (374222495).

2582824993 is an equidigital number, since it uses as much as digits as its factorization.

2582824993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655943.

The product of its digits is 2488320, while the sum is 52.

The square root of 2582824993 is about 50821.5012863650. The cubic root of 2582824993 is about 1372.0343784151.

The spelling of 2582824993 in words is "two billion, five hundred eighty-two million, eight hundred twenty-four thousand, nine hundred ninety-three".