2005364087840 has 48 divisors (see below), whose sum is σ = 4737757637592. Its totient is φ = 802131247104.

The previous prime is 2005364087821. The next prime is 2005364087849. The reversal of 2005364087840 is 487804635002.

It can be written as a sum of positive squares in 4 ways, for example, as 1836794720656 + 168569367184 = 1355284^2 + 410572^2 .

It is not an unprimeable number, because it can be changed into a prime (2005364087849) 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 7 ways as a sum of consecutive naturals, for example, 16309472 + ... + 16431968.

Almost surely, 2^{2005364087840} is an apocalyptic number.

2005364087840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005364087840 is an abundant number, since it is smaller than the sum of its proper divisors (2732393549752).

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

2005364087840 is a wasteful number, since it uses less digits than its factorization.

2005364087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224829 (or 224821 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 2005364087840 in words is "two trillion, five billion, three hundred sixty-four million, eighty-seven thousand, eight hundred forty".