2133005440 has 64 divisors (see below), whose sum is σ = 5110200000. Its totient is φ = 851364864.

The previous prime is 2133005431. The next prime is 2133005461. The reversal of 2133005440 is 445003312.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316021 + ... + 322699.

It is an arithmetic number, because the mean of its divisors is an integer number (79846875).

Almost surely, 2^2133005440 is an apocalyptic number.

2133005440 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 2133005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555100000).

2133005440 is an abundant number, since it is smaller than the sum of its proper divisors (2977194560).

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

2133005440 is an equidigital number, since it uses as much as digits as its factorization.

2133005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2133005440 is about 46184.4718493132. The cubic root of 2133005440 is about 1287.2532224422.

Adding to 2133005440 its reverse (445003312), we get a palindrome (2578008752).

The spelling of 2133005440 in words is "two billion, one hundred thirty-three million, five thousand, four hundred forty".