2005008704704 has 112 divisors (see below), whose sum is σ = 4258324224000. Its totient is φ = 933331599360.

The previous prime is 2005008704693. The next prime is 2005008704711. The reversal of 2005008704704 is 4074078005002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290115009 + ... + 290121919.

It is an arithmetic number, because the mean of its divisors is an integer number (38020752000).

Almost surely, 2^{2005008704704} 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 2005008704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129162112000).

2005008704704 is an abundant number, since it is smaller than the sum of its proper divisors (2253315519296).

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

2005008704704 is a wasteful number, since it uses less digits than its factorization.

2005008704704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9776 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 2005008704704 in words is "two trillion, five billion, eight million, seven hundred four thousand, seven hundred four".