2033242224440 has 128 divisors (see below), whose sum is σ = 5293253370240. Its totient is φ = 688507846656.

The previous prime is 2033242224437. The next prime is 2033242224509. The reversal of 2033242224440 is 444222423302.

It is a junction number, because it is equal to n+sod(n) for n = 2033242224397 and 2033242224406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7422392 + ... + 7691448.

It is an arithmetic number, because the mean of its divisors is an integer number (41353541955).

Almost surely, 2^{2033242224440} is an apocalyptic number.

2033242224440 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 2033242224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646626685120).

2033242224440 is an abundant number, since it is smaller than the sum of its proper divisors (3260011145800).

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

2033242224440 is a wasteful number, since it uses less digits than its factorization.

2033242224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269409 (or 269405 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 2033242224440 its reverse (444222423302), we get a palindrome (2477464647742).

The spelling of 2033242224440 in words is "two trillion, thirty-three billion, two hundred forty-two million, two hundred twenty-four thousand, four hundred forty".