2029968 has 80 divisors (see below), whose sum is σ = 6031360. Its totient is φ = 653184.

The previous prime is 2029967. The next prime is 2029981. The reversal of 2029968 is 8699202.

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

It is not an unprimeable number, because it can be changed into a prime (2029967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15921 + ... + 16047.

It is an arithmetic number, because the mean of its divisors is an integer number (75392).

2^2029968 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 2029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015680).

2029968 is an abundant number, since it is smaller than the sum of its proper divisors (4001392).

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

2029968 is a wasteful number, since it uses less digits than its factorization.

2029968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2029968 is about 1424.7694550347. The cubic root of 2029968 is about 126.6182763758.

The spelling of 2029968 in words is "two million, twenty-nine thousand, nine hundred sixty-eight".