2011968 has 84 divisors (see below), whose sum is σ = 6604000. Its totient is φ = 573696.

The previous prime is 2011957. The next prime is 2011973. The reversal of 2011968 is 8691102.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3783 + ... + 4281.

2^2011968 is an apocalyptic number.

2011968 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 2011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302000).

2011968 is an abundant number, since it is smaller than the sum of its proper divisors (4592032).

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

2011968 is a wasteful number, since it uses less digits than its factorization.

2011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2011968 is about 1418.4385781556. The cubic root of 2011968 is about 126.2429176173.

The spelling of 2011968 in words is "two million, eleven thousand, nine hundred sixty-eight".