2051968 has 64 divisors (see below), whose sum is σ = 4626720. Its totient is φ = 901120.

The previous prime is 2051963. The next prime is 2051969. The reversal of 2051968 is 8691502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051963) 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, 50028 + ... + 50068.

2^2051968 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 2051968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313360).

2051968 is an abundant number, since it is smaller than the sum of its proper divisors (2574752).

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

2051968 is a wasteful number, since it uses less digits than its factorization.

2051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2051968 is about 1432.4691968765. The cubic root of 2051968 is about 127.0740469669.

The spelling of 2051968 in words is "two million, fifty-one thousand, nine hundred sixty-eight".