2544374721024 has 720 divisors, whose sum is σ = 7966965222216. Its totient is φ = 780841451520.

The previous prime is 2544374721017. The next prime is 2544374721073. The reversal of 2544374721024 is 4201274734452.

2544374721024 is a `hidden beast` number, since 2 + 5 + 44 + 37 + 472 + 102 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2417900601600 + 126474119424 = 1554960^2 + 355632^2 .

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 71 ways as a sum of consecutive naturals, for example, 8683872622 + ... + 8683872914.

Almost surely, 2^{2544374721024} is an apocalyptic number.

2544374721024 is a gapful number since it is divisible by the number (24) 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 2544374721024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983482611108).

2544374721024 is an abundant number, since it is smaller than the sum of its proper divisors (5422590501192).

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

2544374721024 is a wasteful number, since it uses less digits than its factorization.

2544374721024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 2544374721024 in words is "two trillion, five hundred forty-four billion, three hundred seventy-four million, seven hundred twenty-one thousand, twenty-four".