2538474303456 has 144 divisors (see below), whose sum is σ = 8884660153824. Its totient is φ = 669487721472.

The previous prime is 2538474303451. The next prime is 2538474303473. The reversal of 2538474303456 is 6543034748352.

2538474303456 is a `hidden beast` number, since 2 + 53 + 84 + 7 + 430 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538474303451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48403171 + ... + 48455586.

It is an arithmetic number, because the mean of its divisors is an integer number (61699028846).

Almost surely, 2^{2538474303456} is an apocalyptic number.

2538474303456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2538474303456 is an abundant number, since it is smaller than the sum of its proper divisors (6346185850368).

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

2538474303456 is a wasteful number, since it uses less digits than its factorization.

2538474303456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96858793 (or 96858782 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 2538474303456 in words is "two trillion, five hundred thirty-eight billion, four hundred seventy-four million, three hundred three thousand, four hundred fifty-six".