2000244400 has 240 divisors, whose sum is σ = 6060112128. Its totient is φ = 616320000.

The previous prime is 2000244349. The next prime is 2000244401. The reversal of 2000244400 is 44420002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2000244401) 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 47 ways as a sum of consecutive naturals, for example, 3110479 + ... + 3111121.

Almost surely, 2^2000244400 is an apocalyptic number.

2000244400 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 2000244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030056064).

2000244400 is an abundant number, since it is smaller than the sum of its proper divisors (4059867728).

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

2000244400 is a wasteful number, since it uses less digits than its factorization.

2000244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2000244400 is about 44724.0919415923. The cubic root of 2000244400 is about 1259.9723685886.

Adding to 2000244400 its reverse (44420002), we get a palindrome (2044664402).

The spelling of 2000244400 in words is "two billion, two hundred forty-four thousand, four hundred".