2317517664 has 96 divisors (see below), whose sum is σ = 7584627456. Its totient is φ = 601950720.

The previous prime is 2317517621. The next prime is 2317517669. The reversal of 2317517664 is 4667157132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2317517669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149367 + ... + 164150.

It is an arithmetic number, because the mean of its divisors is an integer number (79006536).

Almost surely, 2^2317517664 is an apocalyptic number.

2317517664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2317517664 is an abundant number, since it is smaller than the sum of its proper divisors (5267109792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2317517664 is a wasteful number, since it uses less digits than its factorization.

2317517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313548 (or 313540 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 2317517664 is about 48140.6030705890. The cubic root of 2317517664 is about 1323.3488703911.

The spelling of 2317517664 in words is "two billion, three hundred seventeen million, five hundred seventeen thousand, six hundred sixty-four".