2544248448 has 256 divisors, whose sum is σ = 8636544000. Its totient is φ = 722304000.

The previous prime is 2544248363. The next prime is 2544248453. The reversal of 2544248448 is 8448424452.

2544248448 is a `hidden beast` number, since 2 + 544 + 24 + 84 + 4 + 8 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6071983 + ... + 6072401.

It is an arithmetic number, because the mean of its divisors is an integer number (33736500).

Almost surely, 2^2544248448 is an apocalyptic number.

2544248448 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 2544248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272000).

2544248448 is an abundant number, since it is smaller than the sum of its proper divisors (6092295552).

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

2544248448 is a wasteful number, since it uses less digits than its factorization.

2544248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its digits is 1310720, while the sum is 45.

The square root of 2544248448 is about 50440.5436925495. The cubic root of 2544248448 is about 1365.1692774005.

The spelling of 2544248448 in words is "two billion, five hundred forty-four million, two hundred forty-eight thousand, four hundred forty-eight".