2047968 has 72 divisors (see below), whose sum is σ = 6283368. Its totient is φ = 628992.

The previous prime is 2047967. The next prime is 2047993. The reversal of 2047968 is 8697402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3471 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (87269).

2^2047968 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 2047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141684).

2047968 is an abundant number, since it is smaller than the sum of its proper divisors (4235400).

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

2047968 is a wasteful number, since it uses less digits than its factorization.

2047968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2047968 is about 1431.0723252163. The cubic root of 2047968 is about 126.9914227369.

The spelling of 2047968 in words is "two million, forty-seven thousand, nine hundred sixty-eight".