2034044400 has 120 divisors (see below), whose sum is σ = 6556326400. Its totient is φ = 539032320.

The previous prime is 2034044371. The next prime is 2034044417. The reversal of 2034044400 is 44404302.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 190401 + ... + 200799.

Almost surely, 2^2034044400 is an apocalyptic number.

2034044400 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 2034044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278163200).

2034044400 is an abundant number, since it is smaller than the sum of its proper divisors (4522282000).

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

2034044400 is a wasteful number, since it uses less digits than its factorization.

2034044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2034044400 is about 45100.3813731104. The cubic root of 2034044400 is about 1267.0297420252.

Adding to 2034044400 its reverse (44404302), we get a palindrome (2078448702).

The spelling of 2034044400 in words is "two billion, thirty-four million, forty-four thousand, four hundred".