2005719084936 has 48 divisors (see below), whose sum is σ = 6208178121600. Its totient is φ = 573062595552.

The previous prime is 2005719084899. The next prime is 2005719084937. The reversal of 2005719084936 is 6394809175002.

2005719084936 is a `hidden beast` number, since 20 + 0 + 571 + 9 + 0 + 8 + 49 + 3 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2005719084937) 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 11 ways as a sum of consecutive naturals, for example, 1989800176 + ... + 1989801183.

It is an arithmetic number, because the mean of its divisors is an integer number (129337044200).

It is a 1-persistent number, because it is pandigital, but 2⋅2005719084936 = 4011438169872 is not.

Almost surely, 2^{2005719084936} is an apocalyptic number.

It is an amenable number.

2005719084936 is an abundant number, since it is smaller than the sum of its proper divisors (4202459036664).

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

2005719084936 is a wasteful number, since it uses less digits than its factorization.

2005719084936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979601378 (or 3979601371 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2005719084936 in words is "two trillion, five billion, seven hundred nineteen million, eighty-four thousand, nine hundred thirty-six".