2582815248 has 200 divisors, whose sum is σ = 8151853248. Its totient is φ = 784712448.

The previous prime is 2582815243. The next prime is 2582815283. The reversal of 2582815248 is 8425182852.

It is not an unprimeable number, because it can be changed into a prime (2582815241) 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 39 ways as a sum of consecutive naturals, for example, 1397461 + ... + 1399307.

Almost surely, 2^2582815248 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 2582815248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075926624).

2582815248 is an abundant number, since it is smaller than the sum of its proper divisors (5569038000).

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

2582815248 is a wasteful number, since it uses less digits than its factorization.

2582815248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1948 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 2582815248 is about 50821.4054114996. The cubic root of 2582815248 is about 1372.0326528508.

The spelling of 2582815248 in words is "two billion, five hundred eighty-two million, eight hundred fifteen thousand, two hundred forty-eight".