2133120 has 128 divisors (see below), whose sum is σ = 7490880. Its totient is φ = 512000.

The previous prime is 2133113. The next prime is 2133121. The reversal of 2133120 is 213312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2133096 and 2133105.

It is not an unprimeable number, because it can be changed into a prime (2133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21070 + ... + 21170.

2^2133120 is an apocalyptic number.

2133120 is a gapful number since it is divisible by the number (20) 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 2133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440).

2133120 is an abundant number, since it is smaller than the sum of its proper divisors (5357760).

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

2133120 is a wasteful number, since it uses less digits than its factorization.

2133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2133120 is about 1460.5204551803. The cubic root of 2133120 is about 128.7276267404.

Adding to 2133120 its reverse (213312), we get a palindrome (2346432).

It can be divided in two parts, 213 and 3120, that added together give a palindrome (3333).

The spelling of 2133120 in words is "two million, one hundred thirty-three thousand, one hundred twenty".