2220388641 has 27 divisors (see below), whose sum is σ = 3259308819. Its totient is φ = 1456604352.

The previous prime is 2220388619. The next prime is 2220388657. The reversal of 2220388641 is 1468830222.

The square root of 2220388641 is 47121.

It is a perfect power (a square), and thus also a powerful number.

2220388641 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 3 + 8 + 8 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39125025 + 2181263616 = 6255^2 + 46704^2 .

It is not a de Polignac number, because 2220388641 - 2²⁷ = 2086170913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220388596 and 2220388605.

It is not an unprimeable number, because it can be changed into a prime (2220388441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15973950 + ... + 15974088.

Almost surely, 2^2220388641 is an apocalyptic number.

2220388641 is the 47121-st square number.

2220388641 is the 23561-st centered octagonal number.

It is an amenable number.

2220388641 is a deficient number, since it is larger than the sum of its proper divisors (1038920178).

2220388641 is an equidigital number, since it uses as much as digits as its factorization.

2220388641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The cubic root of 2220388641 is about 1304.5968702407.

Multiplying 2220388641 by its sum of digits (36), we get a square (79933991076 = 282726²).

Multiplying 2220388641 by its product of nonzero digits (36864), we get a square (81852406861824 = 9047232²).

The spelling of 2220388641 in words is "two billion, two hundred twenty million, three hundred eighty-eight thousand, six hundred forty-one".