2133768 has 64 divisors (see below), whose sum is σ = 6572160. Its totient is φ = 562176.

The previous prime is 2133743. The next prime is 2133773. The reversal of 2133768 is 8673312.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 3⁴ + 3⁹ + 7⁵ + 6² + 8 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (102690).

2^2133768 is an apocalyptic number.

2133768 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 2133768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286080).

2133768 is an abundant number, since it is smaller than the sum of its proper divisors (4438392).

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

2133768 is a wasteful number, since it uses less digits than its factorization.

2133768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1002 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 2133768 is about 1460.7422770633. The cubic root of 2133768 is about 128.7406603964.

The spelling of 2133768 in words is "two million, one hundred thirty-three thousand, seven hundred sixty-eight".