2566266417 has 24 divisors (see below), whose sum is σ = 4354878528. Its totient is φ = 1435672800.

The previous prime is 2566266403. The next prime is 2566266431. The reversal of 2566266417 is 7146626652.

2566266417 is a `hidden beast` number, since 2 + 5 + 6 + 626 + 6 + 4 + 17 = 666.

2566266417 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2566266403) and next prime (2566266431).

It is not a de Polignac number, because 2566266417 - 2³¹ = 418782769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2566266457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 995709 + ... + 998282.

It is an arithmetic number, because the mean of its divisors is an integer number (181453272).

Almost surely, 2^2566266417 is an apocalyptic number.

It is an amenable number.

2566266417 is a deficient number, since it is larger than the sum of its proper divisors (1788612111).

2566266417 is a wasteful number, since it uses less digits than its factorization.

2566266417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994021 (or 1994018 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2566266417 is about 50658.3301836924. The cubic root of 2566266417 is about 1369.0960376615.

The spelling of 2566266417 in words is "two billion, five hundred sixty-six million, two hundred sixty-six thousand, four hundred seventeen".