2544093312 has 128 divisors (see below), whose sum is σ = 7161950400. Its totient is φ = 797921280.

The previous prime is 2544093287. The next prime is 2544093313. The reversal of 2544093312 is 2133904452.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2544093313) 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 15 ways as a sum of consecutive naturals, for example, 1144362 + ... + 1146582.

Almost surely, 2^2544093312 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 2544093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580975200).

2544093312 is an abundant number, since it is smaller than the sum of its proper divisors (4617857088).

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

2544093312 is a wasteful number, since it uses less digits than its factorization.

2544093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2544093312 is about 50439.0058585615. The cubic root of 2544093312 is about 1365.1415296903.

Adding to 2544093312 its reverse (2133904452), we get a palindrome (4677997764).

The spelling of 2544093312 in words is "two billion, five hundred forty-four million, ninety-three thousand, three hundred twelve".