2544872960 has 320 divisors, whose sum is σ = 7424524800. Its totient is φ = 818184192.

The previous prime is 2544872947. The next prime is 2544872971. The reversal of 2544872960 is 692784452.

2544872960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30661079 + ... + 30661161.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^2544872960 is an apocalyptic number.

2544872960 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 2544872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712262400).

2544872960 is an abundant number, since it is smaller than the sum of its proper divisors (4879651840).

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

2544872960 is an equidigital number, since it uses as much as digits as its factorization.

2544872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 2544872960 is about 50446.7338883302. The cubic root of 2544872960 is about 1365.2809665516.

The spelling of 2544872960 in words is "two billion, five hundred forty-four million, eight hundred seventy-two thousand, nine hundred sixty".