2205117411 has 16 divisors (see below), whose sum is σ = 3360847104. Its totient is φ = 1259816544.

The previous prime is 2205117337. The next prime is 2205117419. The reversal of 2205117411 is 1147115022.

It is not a de Polignac number, because 2205117411 - 2¹⁰ = 2205116387 is a prime.

It is a super-3 number, since 3×2205117411³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2205117419) 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 15 ways as a sum of consecutive naturals, for example, 171085 + ... + 183521.

It is an arithmetic number, because the mean of its divisors is an integer number (210052944).

Almost surely, 2^2205117411 is an apocalyptic number.

2205117411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2205117411 is a deficient number, since it is larger than the sum of its proper divisors (1155729693).

2205117411 is a wasteful number, since it uses less digits than its factorization.

2205117411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20890.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 2205117411 is about 46958.6776964599. The cubic root of 2205117411 is about 1301.5990994372.

The spelling of 2205117411 in words is "two billion, two hundred five million, one hundred seventeen thousand, four hundred eleven".