2584921248 has 432 divisors, whose sum is σ = 9467430336. Its totient is φ = 679311360.

The previous prime is 2584921243. The next prime is 2584921249. The reversal of 2584921248 is 8421294852.

2584921248 is a `hidden beast` number, since 2 + 584 + 9 + 21 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (2584921243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198868 + ... + 9199148.

It is an arithmetic number, because the mean of its divisors is an integer number (21915348).

Almost surely, 2^2584921248 is an apocalyptic number.

2584921248 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 2584921248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733715168).

2584921248 is an abundant number, since it is smaller than the sum of its proper divisors (6882509088).

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

2584921248 is a wasteful number, since it uses less digits than its factorization.

2584921248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 306 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2584921248 is about 50842.1208054896. The cubic root of 2584921248 is about 1372.4054651362.

The spelling of 2584921248 in words is "two billion, five hundred eighty-four million, nine hundred twenty-one thousand, two hundred forty-eight".