2044442400 has 1152 divisors, whose sum is σ = 9575387136. Its totient is φ = 364953600.

The previous prime is 2044442399. The next prime is 2044442401. The reversal of 2044442400 is 42444402.

It is an interprime number because it is at equal distance from previous prime (2044442399) and next prime (2044442401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2044442401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55255182 + ... + 55255218.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^2044442400 is an apocalyptic number.

2044442400 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 2044442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787693568).

2044442400 is an abundant number, since it is smaller than the sum of its proper divisors (7530944736).

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

2044442400 is a wasteful number, since it uses less digits than its factorization.

2044442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2044442400 is about 45215.5106130629. The cubic root of 2044442400 is about 1269.1850849136.

Adding to 2044442400 its reverse (42444402), we get a palindrome (2086886802).

It can be divided in two parts, 2044 and 442400, that added together give a palindrome (444444).

The spelling of 2044442400 in words is "two billion, forty-four million, four hundred forty-two thousand, four hundred".