2005097734656 has 480 divisors, whose sum is σ = 6249111156288. Its totient is φ = 616660992000.

The previous prime is 2005097734631. The next prime is 2005097734669. The reversal of 2005097734656 is 6564377905002.

2005097734656 is a `hidden beast` number, since 2 + 0 + 0 + 509 + 7 + 73 + 4 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890757531 + ... + 890759781.

Almost surely, 2^{2005097734656} 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 2005097734656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124555578144).

2005097734656 is an abundant number, since it is smaller than the sum of its proper divisors (4244013421632).

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

2005097734656 is a wasteful number, since it uses less digits than its factorization.

2005097734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 2005097734656 in words is "two trillion, five billion, ninety-seven million, seven hundred thirty-four thousand, six hundred fifty-six".