2133310300440 has 192 divisors, whose sum is σ = 7037927930880. Its totient is φ = 516924038400.

The previous prime is 2133310300423. The next prime is 2133310300441. The reversal of 2133310300440 is 440030133312.

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 2133310300440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133310300441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32012355 + ... + 32078925.

It is an arithmetic number, because the mean of its divisors is an integer number (36655874640).

Almost surely, 2^{2133310300440} is an apocalyptic number.

2133310300440 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 2133310300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518963965440).

2133310300440 is an abundant number, since it is smaller than the sum of its proper divisors (4904617630440).

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

2133310300440 is a wasteful number, since it uses less digits than its factorization.

2133310300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68814 (or 68799 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2133310300440 its reverse (440030133312), we get a palindrome (2573340433752).

The spelling of 2133310300440 in words is "two trillion, one hundred thirty-three billion, three hundred ten million, three hundred thousand, four hundred forty".