2544480000000 has 1536 divisors, whose sum is σ = 10237473792000. Its totient is φ = 622080000000.

The previous prime is 2544479999927. The next prime is 2544480000043. The reversal of 2544480000000 is 844452.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82079999985 + ... + 82080000015.

It is an arithmetic number, because the mean of its divisors is an integer number (6665022000).

Almost surely, 2^{2544480000000} is an apocalyptic number.

2544480000000 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 2544480000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118736896000).

2544480000000 is an abundant number, since it is smaller than the sum of its proper divisors (7692993792000).

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

2544480000000 is an frugal number, since it uses more digits than its factorization.

2544480000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 2544480000000 its reverse (844452), we get a palindrome (2544480844452).

The spelling of 2544480000000 in words is "two trillion, five hundred forty-four billion, four hundred eighty million", and thus it is an aban number.