2133540 has 72 divisors (see below), whose sum is σ = 6726720. Its totient is φ = 567648.

The previous prime is 2133539. The next prime is 2133541. The reversal of 2133540 is 453312.

It is an interprime number because it is at equal distance from previous prime (2133539) and next prime (2133541).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2133541) 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 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 5079.

2^2133540 is an apocalyptic number.

2133540 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 2133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363360).

2133540 is an abundant number, since it is smaller than the sum of its proper divisors (4593180).

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

2133540 is a wasteful number, since it uses less digits than its factorization.

2133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2133540 is about 1460.6642324641. The cubic root of 2133540 is about 128.7360747814.

Adding to 2133540 its reverse (453312), we get a palindrome (2586852).

The spelling of 2133540 in words is "two million, one hundred thirty-three thousand, five hundred forty".