2640807632205 has 48 divisors (see below), whose sum is σ = 4735470083760. Its totient is φ = 1359798451200.

The previous prime is 2640807632167. The next prime is 2640807632207. The reversal of 2640807632205 is 5022367080462.

2640807632205 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 8 + 0 + 7 + 632 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 556835333796 + 2083972298409 = 746214^2 + 1443597^2 .

It is not a de Polignac number, because 2640807632205 - 2¹¹ = 2640807630157 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640807632207) 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 47 ways as a sum of consecutive naturals, for example, 38777985 + ... + 38846025.

It is an arithmetic number, because the mean of its divisors is an integer number (98655626745).

Almost surely, 2^{2640807632205} is an apocalyptic number.

It is an amenable number.

2640807632205 is a deficient number, since it is larger than the sum of its proper divisors (2094662451555).

2640807632205 is a wasteful number, since it uses less digits than its factorization.

2640807632205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97822 (or 97819 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2640807632205 in words is "two trillion, six hundred forty billion, eight hundred seven million, six hundred thirty-two thousand, two hundred five".