2191968 has 96 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 701568.

The previous prime is 2191967. The next prime is 2191993. The reversal of 2191968 is 8691912.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191967) 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, 37123 + ... + 37181.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2^2191968 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 2191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2191968 is an abundant number, since it is smaller than the sum of its proper divisors (4460832).

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

2191968 is a wasteful number, since it uses less digits than its factorization.

2191968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2191968 is about 1480.5296349618. The cubic root of 2191968 is about 129.9006736360.

It can be divided in two parts, 219 and 1968, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2191968 in words is "two million, one hundred ninety-one thousand, nine hundred sixty-eight".