2291968 has 36 divisors (see below), whose sum is σ = 5232640. Its totient is φ = 981504.

The previous prime is 2291963. The next prime is 2291983. The reversal of 2291968 is 8691922.

It is not an unprimeable number, because it can be changed into a prime (2291963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1153 + ... + 2431.

2^2291968 is an apocalyptic number.

2291968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616320).

2291968 is an abundant number, since it is smaller than the sum of its proper divisors (2940672).

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

2291968 is an equidigital number, since it uses as much as digits as its factorization.

2291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1288 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 2291968 is about 1513.9247009016. The cubic root of 2291968 is about 131.8467766021.

It can be divided in two parts, 229 and 1968, that added together give a cube (2197 = 13³).

The spelling of 2291968 in words is "two million, two hundred ninety-one thousand, nine hundred sixty-eight".