2164307517 has 12 divisors (see below), whose sum is σ = 3129898044. Its totient is φ = 1441175040.

The previous prime is 2164307507. The next prime is 2164307527. The reversal of 2164307517 is 7157034612.

It is a happy number.

2164307517 is a `hidden beast` number, since 2 + 1 + 643 + 0 + 7 + 5 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (2164307507) and next prime (2164307527).

It can be written as a sum of positive squares in 2 ways, for example, as 675428121 + 1488879396 = 25989^2 + 38586^2 .

It is not a de Polignac number, because 2164307517 - 2²⁰ = 2163258941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164307507) 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, 133284 + ... + 148637.

It is an arithmetic number, because the mean of its divisors is an integer number (260824837).

Almost surely, 2^2164307517 is an apocalyptic number.

It is an amenable number.

2164307517 is a deficient number, since it is larger than the sum of its proper divisors (965590527).

2164307517 is a wasteful number, since it uses less digits than its factorization.

2164307517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282780 (or 282777 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2164307517 is about 46522.1185781559. The cubic root of 2164307517 is about 1293.5195271592.

The spelling of 2164307517 in words is "two billion, one hundred sixty-four million, three hundred seven thousand, five hundred seventeen".