2582946548 has 48 divisors (see below), whose sum is σ = 5572998144. Its totient is φ = 1020038400.

The previous prime is 2582946521. The next prime is 2582946589. The reversal of 2582946548 is 8456492852.

It is a super-2 number, since 2×2582946548² = 13343225739650232608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2582946548.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 212861 + ... + 224667.

It is an arithmetic number, because the mean of its divisors is an integer number (116104128).

Almost surely, 2^2582946548 is an apocalyptic number.

2582946548 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582946548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786499072).

2582946548 is an abundant number, since it is smaller than the sum of its proper divisors (2990051596).

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

2582946548 is a wasteful number, since it uses less digits than its factorization.

2582946548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12430 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 53.

The square root of 2582946548 is about 50822.6971736054. The cubic root of 2582946548 is about 1372.0559020082.

The spelling of 2582946548 in words is "two billion, five hundred eighty-two million, nine hundred forty-six thousand, five hundred forty-eight".