2560200417 has 12 divisors (see below), whose sum is σ = 3825587220. Its totient is φ = 1647944928.

The previous prime is 2560200407. The next prime is 2560200437. The reversal of 2560200417 is 7140020652.

It can be written as a sum of positive squares in 2 ways, for example, as 609299856 + 1950900561 = 24684^2 + 44169^2 .

It is not a de Polignac number, because 2560200417 - 2¹² = 2560196321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2560200407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4904338 + ... + 4904859.

It is an arithmetic number, because the mean of its divisors is an integer number (318798935).

Almost surely, 2^2560200417 is an apocalyptic number.

It is an amenable number.

2560200417 is a deficient number, since it is larger than the sum of its proper divisors (1265386803).

2560200417 is a wasteful number, since it uses less digits than its factorization.

2560200417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809232 (or 9809229 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2560200417 is about 50598.4230683131. The cubic root of 2560200417 is about 1368.0164551858.

The spelling of 2560200417 in words is "two billion, five hundred sixty million, two hundred thousand, four hundred seventeen".