2541444944481 has 27 divisors (see below), whose sum is σ = 3698543374929. Its totient is φ = 1681667448552.

The previous prime is 2541444944453. The next prime is 2541444944483. The reversal of 2541444944481 is 1844494441452.

The square root of 2541444944481 is 1594191.

It is a perfect power (a square), and thus also a powerful number.

2541444944481 is a `hidden beast` number, since 2 + 5 + 4 + 144 + 494 + 4 + 4 + 8 + 1 = 666.

It is not a de Polignac number, because 2541444944481 - 2⁵ = 2541444944449 is a prime.

It is a super-2 number, since 2×2541444944481² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541444944483) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 664775736 + ... + 664779558.

Almost surely, 2^{2541444944481} is an apocalyptic number.

2541444944481 is the 1594191-st square number.

2541444944481 is the 797096-th centered octagonal number.

It is an amenable number.

2541444944481 is a deficient number, since it is larger than the sum of its proper divisors (1157098430448).

2541444944481 is an frugal number, since it uses more digits than its factorization.

2541444944481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930 (or 3965 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 2541444944481 in words is "two trillion, five hundred forty-one billion, four hundred forty-four million, nine hundred forty-four thousand, four hundred eighty-one".