2205145413 has 48 divisors (see below), whose sum is σ = 3414528000. Its totient is φ = 1368299520.

The previous prime is 2205145403. The next prime is 2205145417. The reversal of 2205145413 is 3145415022.

2205145413 is a `hidden beast` number, since 2 + 205 + 1 + 45 + 413 = 666.

It is not a de Polignac number, because 2205145413 - 2¹⁴ = 2205129029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205145417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3632556 + ... + 3633162.

It is an arithmetic number, because the mean of its divisors is an integer number (71136000).

Almost surely, 2^2205145413 is an apocalyptic number.

It is an amenable number.

2205145413 is a deficient number, since it is larger than the sum of its proper divisors (1209382587).

2205145413 is a wasteful number, since it uses less digits than its factorization.

2205145413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2205145413 is about 46958.9758512683. The cubic root of 2205145413 is about 1301.6046089283.

The spelling of 2205145413 in words is "two billion, two hundred five million, one hundred forty-five thousand, four hundred thirteen".