2081968 has 40 divisors (see below), whose sum is σ = 4776480. Its totient is φ = 860160.

The previous prime is 2081927. The next prime is 2081969. The reversal of 2081968 is 8691802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 3568.

It is an arithmetic number, because the mean of its divisors is an integer number (119412).

2^2081968 is an apocalyptic number.

2081968 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 2081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388240).

2081968 is an abundant number, since it is smaller than the sum of its proper divisors (2694512).

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

2081968 is a wasteful number, since it uses less digits than its factorization.

2081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2081968 is about 1442.9026301175. The cubic root of 2081968 is about 127.6903321601.

The spelling of 2081968 in words is "two million, eighty-one thousand, nine hundred sixty-eight".