2544256000 has 352 divisors, whose sum is σ = 7510688640. Its totient is φ = 847872000.

The previous prime is 2544255991. The next prime is 2544256007. The reversal of 2544256000 is 6524452.

It is a tau number, because it is divible by the number of its divisors (352).

It is a self number, because there is not a number n which added to its sum of digits gives 2544256000.

It is not an unprimeable number, because it can be changed into a prime (2544256007) 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 31 ways as a sum of consecutive naturals, for example, 18303931 + ... + 18304069.

Almost surely, 2^2544256000 is an apocalyptic number.

2544256000 is a gapful number since it is divisible by the number (20) 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 2544256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

2544256000 is an abundant number, since it is smaller than the sum of its proper divisors (4966432640).

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

2544256000 is a wasteful number, since it uses less digits than its factorization.

2544256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2544256000 is about 50440.6185529083. The cubic root of 2544256000 is about 1365.1706281266.

The spelling of 2544256000 in words is "two billion, five hundred forty-four million, two hundred fifty-six thousand".