2005194608640 has 156 divisors (see below), whose sum is σ = 6950493396444. Its totient is φ = 534718513152.

The previous prime is 2005194608621. The next prime is 2005194608699. The reversal of 2005194608640 is 468064915002.

2005194608640 is a `hidden beast` number, since 20 + 0 + 5 + 19 + 4 + 608 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1192254345216 + 812940263424 = 1091904^2 + 901632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5255119 + ... + 5623758.

It is an arithmetic number, because the mean of its divisors is an integer number (44554444849).

Almost surely, 2^{2005194608640} is an apocalyptic number.

2005194608640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005194608640 is an abundant number, since it is smaller than the sum of its proper divisors (4945298787804).

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

2005194608640 is a wasteful number, since it uses less digits than its factorization.

2005194608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10878912 (or 10878887 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2005194608640 in words is "two trillion, five billion, one hundred ninety-four million, six hundred eight thousand, six hundred forty".