2119968 has 72 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 663552.

The previous prime is 2119967. The next prime is 2119969. The reversal of 2119968 is 8699112.

It is an interprime number because it is at equal distance from previous prime (2119967) and next prime (2119969).

It can be written as a sum of positive squares in 2 ways, for example, as 2108304 + 11664 = 1452^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (2119967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4680 + ... + 5112.

2^2119968 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 2119968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2119968 is an abundant number, since it is smaller than the sum of its proper divisors (4278060).

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

2119968 is a wasteful number, since it uses less digits than its factorization.

2119968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

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

The square root of 2119968 is about 1456.0109889695. The cubic root of 2119968 is about 128.4625194124.

The spelling of 2119968 in words is "two million, one hundred nineteen thousand, nine hundred sixty-eight".