2544434944128 has 576 divisors, whose sum is σ = 9538484679360. Its totient is φ = 660885350400.

The previous prime is 2544434944061. The next prime is 2544434944147. The reversal of 2544434944128 is 8214494344452.

2544434944128 is a `hidden beast` number, since 2 + 5 + 44 + 434 + 9 + 44 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26296798 + ... + 26393378.

It is an arithmetic number, because the mean of its divisors is an integer number (16559869235).

Almost surely, 2^{2544434944128} is an apocalyptic number.

2544434944128 is a gapful number since it is divisible by the number (28) 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 2544434944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769242339680).

2544434944128 is an abundant number, since it is smaller than the sum of its proper divisors (6994049735232).

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

2544434944128 is an equidigital number, since it uses as much as digits as its factorization.

2544434944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96639 (or 96604 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 2544434944128 in words is "two trillion, five hundred forty-four billion, four hundred thirty-four million, nine hundred forty-four thousand, one hundred twenty-eight".