2564264221 has 8 divisors (see below), whose sum is σ = 2587248000. Its totient is φ = 2541383040.

The previous prime is 2564264203. The next prime is 2564264233. The reversal of 2564264221 is 1224624652.

2564264221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2564264221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564264821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25005 + ... + 75853.

It is an arithmetic number, because the mean of its divisors is an integer number (323406000).

Almost surely, 2^2564264221 is an apocalyptic number.

It is an amenable number.

2564264221 is a deficient number, since it is larger than the sum of its proper divisors (22983779).

2564264221 is a wasteful number, since it uses less digits than its factorization.

2564264221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51299.

The product of its digits is 46080, while the sum is 34.

The square root of 2564264221 is about 50638.5645629889. The cubic root of 2564264221 is about 1368.7398896802.

Adding to 2564264221 its reverse (1224624652), we get a palindrome (3788888873).

The spelling of 2564264221 in words is "two billion, five hundred sixty-four million, two hundred sixty-four thousand, two hundred twenty-one".