2133241440 has 192 divisors, whose sum is σ = 7567644672. Its totient is φ = 500428800.

The previous prime is 2133241427. The next prime is 2133241441. The reversal of 2133241440 is 441423312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2133241440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157164 + ... + 170196.

It is an arithmetic number, because the mean of its divisors is an integer number (39414816).

Almost surely, 2^2133241440 is an apocalyptic number.

2133241440 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 2133241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783822336).

2133241440 is an abundant number, since it is smaller than the sum of its proper divisors (5434403232).

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

2133241440 is a wasteful number, since it uses less digits than its factorization.

2133241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2133241440 is about 46187.0267499435. The cubic root of 2133241440 is about 1287.3006954509.

Adding to 2133241440 its reverse (441423312), we get a palindrome (2574664752).

The spelling of 2133241440 in words is "two billion, one hundred thirty-three million, two hundred forty-one thousand, four hundred forty".