10002266417 has 32 divisors (see below), whose sum is σ = 11867627520. Its totient is φ = 8310600000.

The previous prime is 10002266411. The next prime is 10002266419. The reversal of 10002266417 is 71466220001.

It is a cyclic number.

It is not a de Polignac number, because 10002266417 - 2²⁰ = 10001217841 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002266417.

It is not an unprimeable number, because it can be changed into a prime (10002266411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6854834 + ... + 6856292.

It is an arithmetic number, because the mean of its divisors is an integer number (370863360).

Almost surely, 2^10002266417 is an apocalyptic number.

It is an amenable number.

10002266417 is a deficient number, since it is larger than the sum of its proper divisors (1865361103).

10002266417 is a wasteful number, since it uses less digits than its factorization.

10002266417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 10002266417 its reverse (71466220001), we get a palindrome (81468486418).

The spelling of 10002266417 in words is "ten billion, two million, two hundred sixty-six thousand, four hundred seventeen".