2544316320 has 384 divisors, whose sum is σ = 10187735040. Its totient is φ = 519229440.

The previous prime is 2544316319. The next prime is 2544316331. The reversal of 2544316320 is 236134452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1353141 + ... + 1355019.

It is an arithmetic number, because the mean of its divisors is an integer number (26530560).

Almost surely, 2^2544316320 is an apocalyptic number.

2544316320 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 2544316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093867520).

2544316320 is an abundant number, since it is smaller than the sum of its proper divisors (7643418720).

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

2544316320 is a wasteful number, since it uses less digits than its factorization.

2544316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2544316320 is about 50441.2164801762. The cubic root of 2544316320 is about 1365.1814166690.

The spelling of 2544316320 in words is "two billion, five hundred forty-four million, three hundred sixteen thousand, three hundred twenty".