2006220164724 has 18 divisors (see below), whose sum is σ = 5071278749810. Its totient is φ = 668740054896.

The previous prime is 2006220164713. The next prime is 2006220164747. The reversal of 2006220164724 is 4274610226002.

2006220164724 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 2 + 2 + 0 + 1 + 647 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1706989284324 + 299230880400 = 1306518^2 + 547020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 55728337909 = 2006220164724 / (2 + 0 + 0 + 6 + 2 + 2 + 0 + 1 + 6 + 4 + 7 + 2 + 4).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 27864168919 + ... + 27864168990.

Almost surely, 2^{2006220164724} is an apocalyptic number.

It is an amenable number.

2006220164724 is an abundant number, since it is smaller than the sum of its proper divisors (3065058585086).

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

2006220164724 is a wasteful number, since it uses less digits than its factorization.

2006220164724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55728337919 (or 55728337914 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2006220164724 in words is "two trillion, six billion, two hundred twenty million, one hundred sixty-four thousand, seven hundred twenty-four".