2582473248 has 144 divisors (see below), whose sum is σ = 7469594496. Its totient is φ = 846236160.

The previous prime is 2582473241. The next prime is 2582473249. The reversal of 2582473248 is 8423742852.

2582473248 is a `hidden beast` number, since 2 + 582 + 47 + 3 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2582473241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5577465 + ... + 5577927.

It is an arithmetic number, because the mean of its divisors is an integer number (51872184).

Almost surely, 2^2582473248 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 2582473248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734797248).

2582473248 is an abundant number, since it is smaller than the sum of its proper divisors (4887121248).

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

2582473248 is a wasteful number, since it uses less digits than its factorization.

2582473248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2582473248 is about 50818.0405761576. The cubic root of 2582473248 is about 1371.9720915595.

The spelling of 2582473248 in words is "two billion, five hundred eighty-two million, four hundred seventy-three thousand, two hundred forty-eight".