2000444400 has 180 divisors, whose sum is σ = 7350681312. Its totient is φ = 502056960.

The previous prime is 2000444387. The next prime is 2000444441. The reversal of 2000444400 is 44440002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 44857 + ... + 77543.

Almost surely, 2^2000444400 is an apocalyptic number.

2000444400 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 2000444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675340656).

2000444400 is an abundant number, since it is smaller than the sum of its proper divisors (5350236912).

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

2000444400 is a wasteful number, since it uses less digits than its factorization.

2000444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32728 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2000444400 is about 44726.3278170699. The cubic root of 2000444400 is about 1260.0143611364.

Adding to 2000444400 its reverse (44440002), we get a palindrome (2044884402).

The spelling of 2000444400 in words is "two billion, four hundred forty-four thousand, four hundred".