2008704726336 has 448 divisors, whose sum is σ = 7024783048704. Its totient is φ = 491260723200.

The previous prime is 2008704726317. The next prime is 2008704726337. The reversal of 2008704726336 is 6336274078002.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008704726337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16898020 + ... + 17016476.

Almost surely, 2^{2008704726336} 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 2008704726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512391524352).

2008704726336 is an abundant number, since it is smaller than the sum of its proper divisors (5016078322368).

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

2008704726336 is a wasteful number, since it uses less digits than its factorization.

2008704726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118558 (or 118548 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 2008704726336 in words is "two trillion, eight billion, seven hundred four million, seven hundred twenty-six thousand, three hundred thirty-six".