2133648 has 80 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 645120.

The previous prime is 2133647. The next prime is 2133673. The reversal of 2133648 is 8463312.

It is a happy number.

2133648 is a `hidden beast` number, since 2 + 13 + 3 + 648 = 666.

2133648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (2133647) by changing a digit.

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, 4528 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2^2133648 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 2133648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2133648 is an abundant number, since it is smaller than the sum of its proper divisors (4562352).

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

2133648 is a wasteful number, since it uses less digits than its factorization.

2133648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 465 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2133648 is about 1460.7012014782. The cubic root of 2133648 is about 128.7382469556.

The spelling of 2133648 in words is "two million, one hundred thirty-three thousand, six hundred forty-eight".