2775605564106 has 64 divisors (see below), whose sum is σ = 6589549900800. Its totient is φ = 863424804528.

The previous prime is 2775605564093. The next prime is 2775605564107. The reversal of 2775605564106 is 6014655065772.

It is a happy number.

2775605564106 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 60 + 5 + 564 + 10 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2775605564107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20119830 + ... + 20257313.

It is an arithmetic number, because the mean of its divisors is an integer number (102961717200).

Almost surely, 2^{2775605564106} is an apocalyptic number.

2775605564106 is an abundant number, since it is smaller than the sum of its proper divisors (3813944336694).

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

2775605564106 is a wasteful number, since it uses less digits than its factorization.

2775605564106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40377240 (or 40377234 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 2775605564106 in words is "two trillion, seven hundred seventy-five billion, six hundred five million, five hundred sixty-four thousand, one hundred six".