2564000221 has 4 divisors (see below), whose sum is σ = 2596456000. Its totient is φ = 2531544444.

The previous prime is 2564000203. The next prime is 2564000249. The reversal of 2564000221 is 1220004652.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2564000221 - 2⁵ = 2564000189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2564000192 and 2564000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564000281) 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 3 ways as a sum of consecutive naturals, for example, 16227771 + ... + 16227928.

It is an arithmetic number, because the mean of its divisors is an integer number (649114000).

Almost surely, 2^2564000221 is an apocalyptic number.

It is an amenable number.

2564000221 is a deficient number, since it is larger than the sum of its proper divisors (32455779).

2564000221 is an equidigital number, since it uses as much as digits as its factorization.

2564000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32455778.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2564000221 is about 50635.9577869324. The cubic root of 2564000221 is about 1368.6929158765.

Adding to 2564000221 its reverse (1220004652), we get a palindrome (3784004873).

The spelling of 2564000221 in words is "two billion, five hundred sixty-four million, two hundred twenty-one", and thus it is an aban number.