2117568 has 56 divisors (see below), whose sum is σ = 5760720. Its totient is φ = 686080.

The previous prime is 2117561. The next prime is 2117573. The reversal of 2117568 is 8657112.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 1 + 7⁶ + 5⁹ + 6⁶ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7738 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (102870).

2^2117568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880360).

2117568 is an abundant number, since it is smaller than the sum of its proper divisors (3643152).

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

2117568 is a wasteful number, since it uses less digits than its factorization.

2117568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 2117568 is about 1455.1865859745. The cubic root of 2117568 is about 128.4140239532.

The spelling of 2117568 in words is "two million, one hundred seventeen thousand, five hundred sixty-eight".