2546381105856 has 1008 divisors, whose sum is σ = 9009409683456. Its totient is φ = 710862759936.

The previous prime is 2546381105843. The next prime is 2546381105893. The reversal of 2546381105856 is 6585011836452.

2546381105856 is a `hidden beast` number, since 2 + 5 + 46 + 3 + 8 + 1 + 10 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 8032747810 + ... + 8032748126.

It is an arithmetic number, because the mean of its divisors is an integer number (8937906432).

Almost surely, 2^{2546381105856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546381105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504704841728).

2546381105856 is an abundant number, since it is smaller than the sum of its proper divisors (6463028577600).

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

2546381105856 is a wasteful number, since it uses less digits than its factorization.

2546381105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2546381105856 in words is "two trillion, five hundred forty-six billion, three hundred eighty-one million, one hundred five thousand, eight hundred fifty-six".