2131968 has 48 divisors (see below), whose sum is σ = 5700240. Its totient is φ = 708608.

The previous prime is 2131951. The next prime is 2131979. The reversal of 2131968 is 8691312.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5971 + ... + 6317.

It is an arithmetic number, because the mean of its divisors is an integer number (118755).

2^2131968 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 2131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850120).

2131968 is an abundant number, since it is smaller than the sum of its proper divisors (3568272).

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

2131968 is an equidigital number, since it uses as much as digits as its factorization.

2131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 2131968 is about 1460.1260219584. The cubic root of 2131968 is about 128.7044492774.

The spelling of 2131968 in words is "two million, one hundred thirty-one thousand, nine hundred sixty-eight".