2071968 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 680960.

The previous prime is 2071961. The next prime is 2071973. The reversal of 2071968 is 8691702.

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

It is not an unprimeable number, because it can be changed into a prime (2071961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10753 + ... + 10943.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

2^2071968 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 2071968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2071968 is an abundant number, since it is smaller than the sum of its proper divisors (3443808).

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

2071968 is a wasteful number, since it uses less digits than its factorization.

2071968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2071968 is about 1439.4332217925. The cubic root of 2071968 is about 127.4855654555.

The spelling of 2071968 in words is "two million, seventy-one thousand, nine hundred sixty-eight".