2033442400 has 144 divisors (see below), whose sum is σ = 5440151808. Its totient is φ = 736064000.

The previous prime is 2033442379. The next prime is 2033442401. The reversal of 2033442400 is 42443302.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033442401) 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 23 ways as a sum of consecutive naturals, for example, 2736429 + ... + 2737171.

It is an arithmetic number, because the mean of its divisors is an integer number (37778832).

Almost surely, 2^2033442400 is an apocalyptic number.

2033442400 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 2033442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720075904).

2033442400 is an abundant number, since it is smaller than the sum of its proper divisors (3406709408).

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

2033442400 is a wasteful number, since it uses less digits than its factorization.

2033442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2033442400 is about 45093.7068780113. The cubic root of 2033442400 is about 1266.9047321081.

Adding to 2033442400 its reverse (42443302), we get a palindrome (2075885702).

The spelling of 2033442400 in words is "two billion, thirty-three million, four hundred forty-two thousand, four hundred".