2197968 has 40 divisors (see below), whose sum is σ = 5877600. Its totient is φ = 706944.

The previous prime is 2197961. The next prime is 2197973. The reversal of 2197968 is 8697912.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 9⁴ + 7⁴ + 9⁵ + 6² + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197961) 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, 603 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (146940).

2^2197968 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 2197968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938800).

2197968 is an abundant number, since it is smaller than the sum of its proper divisors (3679632).

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

2197968 is a wasteful number, since it uses less digits than its factorization.

2197968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 2197968 is about 1482.5545521160. The cubic root of 2197968 is about 130.0190898988.

The spelling of 2197968 in words is "two million, one hundred ninety-seven thousand, nine hundred sixty-eight".