2133568 has 56 divisors (see below), whose sum is σ = 4690872. Its totient is φ = 958464.

The previous prime is 2133563. The next prime is 2133587. The reversal of 2133568 is 8653312.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 861184 = 1128^2 + 928^2 .

It is a super-2 number, since 2×2133568² = 9104224821248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹¹ + 1 + 3⁶ + 3¹¹ + 5⁹ + 6 + 8³ .

It is not an unprimeable number, because it can be changed into a prime (2133563) 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, 40230 + ... + 40282.

2^2133568 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 2133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345436).

2133568 is an abundant number, since it is smaller than the sum of its proper divisors (2557304).

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

2133568 is a wasteful number, since it uses less digits than its factorization.

2133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 2133568 is about 1460.6738171132. The cubic root of 2133568 is about 128.7366379447.

It can be divided in two parts, 2133 and 568, that added together give a triangular number (2701 = T₇₃).

The spelling of 2133568 in words is "two million, one hundred thirty-three thousand, five hundred sixty-eight".