2044412400 has 120 divisors (see below), whose sum is σ = 6561477360. Its totient is φ = 544133120.

The previous prime is 2044412351. The next prime is 2044412429. The reversal of 2044412400 is 42144402.

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

It is a super-2 number, since 2×2044412400² = 8359244122547520000, which contains 22 as substring.

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, 782296 + ... + 784904.

It is an arithmetic number, because the mean of its divisors is an integer number (54678978).

Almost surely, 2^2044412400 is an apocalyptic number.

2044412400 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 2044412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3280738680).

2044412400 is an abundant number, since it is smaller than the sum of its proper divisors (4517064960).

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

2044412400 is a wasteful number, since it uses less digits than its factorization.

2044412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2044412400 is about 45215.1788672786. The cubic root of 2044412400 is about 1269.1788769065.

Adding to 2044412400 its reverse (42144402), we get a palindrome (2086556802).

The spelling of 2044412400 in words is "two billion, forty-four million, four hundred twelve thousand, four hundred".