2008027634256 has 240 divisors, whose sum is σ = 6651028021248. Its totient is φ = 553427078400.

The previous prime is 2008027634233. The next prime is 2008027634257. The reversal of 2008027634256 is 6524367208002.

2008027634256 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 0 + 2 + 7 + 634 + 2 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008027634257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9614815 + ... + 9821441.

Almost surely, 2^{2008027634256} 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 2008027634256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325514010624).

2008027634256 is an abundant number, since it is smaller than the sum of its proper divisors (4643000386992).

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

2008027634256 is a wasteful number, since it uses less digits than its factorization.

2008027634256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206990 (or 206981 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2008027634256 in words is "two trillion, eight billion, twenty-seven million, six hundred thirty-four thousand, two hundred fifty-six".