2033000440 has 64 divisors (see below), whose sum is σ = 4692504960. Its totient is φ = 792274560.

The previous prime is 2033000407. The next prime is 2033000479. The reversal of 2033000440 is 440003302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801975 + ... + 804505.

It is an arithmetic number, because the mean of its divisors is an integer number (73320390).

Almost surely, 2^2033000440 is an apocalyptic number.

2033000440 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 2033000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346252480).

2033000440 is an abundant number, since it is smaller than the sum of its proper divisors (2659504520).

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

2033000440 is a wasteful number, since it uses less digits than its factorization.

2033000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2033000440 is about 45088.8061496421. The cubic root of 2033000440 is about 1266.8129400177.

Adding to 2033000440 its reverse (440003302), we get a palindrome (2473003742).

The spelling of 2033000440 in words is "two billion, thirty-three million, four hundred forty", and thus it is an aban number.