2044410100 has 72 divisors (see below), whose sum is σ = 4641499800. Its totient is φ = 780693760.

The previous prime is 2044410097. The next prime is 2044410107. The reversal of 2044410100 is 10144402.

It can be written as a sum of positive squares in 12 ways, for example, as 1993801104 + 50608996 = 44652^2 + 7114^2 .

It is a super-2 number, since 2×2044410100² = 8359225313964020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044410107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22970856 + ... + 22970944.

It is an arithmetic number, because the mean of its divisors is an integer number (64465275).

Almost surely, 2^2044410100 is an apocalyptic number.

2044410100 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 2044410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320749900).

2044410100 is an abundant number, since it is smaller than the sum of its proper divisors (2597089700).

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

2044410100 is an frugal number, since it uses more digits than its factorization.

2044410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2044410100 is about 45215.1534333347. The cubic root of 2044410100 is about 1269.1784009567.

Adding to 2044410100 its reverse (10144402), we get a palindrome (2054554502).

The spelling of 2044410100 in words is "two billion, forty-four million, four hundred ten thousand, one hundred".