2544993360 has 720 divisors, whose sum is σ = 11114288640. Its totient is φ = 516741120.

The previous prime is 2544993343. The next prime is 2544993371. The reversal of 2544993360 is 633994452.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 14217751 + ... + 14217929.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2^2544993360 is an apocalyptic number.

2544993360 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 2544993360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

2544993360 is an abundant number, since it is smaller than the sum of its proper divisors (8569295280).

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

2544993360 is a wasteful number, since it uses less digits than its factorization.

2544993360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2544993360 is about 50447.9272121264. The cubic root of 2544993360 is about 1365.3024970614.

The spelling of 2544993360 in words is "two billion, five hundred forty-four million, nine hundred ninety-three thousand, three hundred sixty".