2211540133005 has 80 divisors (see below), whose sum is σ = 4531750544640. Its totient is φ = 1010762489088.

The previous prime is 2211540132979. The next prime is 2211540133007. The reversal of 2211540133005 is 5003310451122.

2211540133005 is a `hidden beast` number, since 221 + 1 + 5 + 401 + 3 + 30 + 0 + 5 = 666.

It is not a de Polignac number, because 2211540133005 - 2⁷ = 2211540132877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2211540133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211540133007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12862041 + ... + 13032849.

It is an arithmetic number, because the mean of its divisors is an integer number (56646881808).

Almost surely, 2^{2211540133005} is an apocalyptic number.

It is an amenable number.

2211540133005 is an abundant number, since it is smaller than the sum of its proper divisors (2320210411635).

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

2211540133005 is a wasteful number, since it uses less digits than its factorization.

2211540133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175400 (or 175391 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2211540133005 its reverse (5003310451122), we get a palindrome (7214850584127).

The spelling of 2211540133005 in words is "two trillion, two hundred eleven billion, five hundred forty million, one hundred thirty-three thousand, five".