2211665213205 has 96 divisors (see below), whose sum is σ = 4565007003648. Its totient is φ = 1006254446400.

The previous prime is 2211665213203. The next prime is 2211665213249. The reversal of 2211665213205 is 5023125661122.

2211665213205 is a `hidden beast` number, since 221 + 1 + 66 + 52 + 1 + 320 + 5 = 666.

It is not a de Polignac number, because 2211665213205 - 2¹ = 2211665213203 is a prime.

It is a super-2 number, since 2×2211665213205² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2211665213205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211665213203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1178340 + ... + 2410770.

It is an arithmetic number, because the mean of its divisors is an integer number (47552156288).

Almost surely, 2^{2211665213205} is an apocalyptic number.

It is an amenable number.

2211665213205 is an abundant number, since it is smaller than the sum of its proper divisors (2353341790443).

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

2211665213205 is a wasteful number, since it uses less digits than its factorization.

2211665213205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232669 (or 1232657 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2211665213205 in words is "two trillion, two hundred eleven billion, six hundred sixty-five million, two hundred thirteen thousand, two hundred five".