2044002400 has 144 divisors (see below), whose sum is σ = 5467150080. Its totient is φ = 740057600.

The previous prime is 2044002379. The next prime is 2044002403. The reversal of 2044002400 is 42004402.

It is a super-2 number, since 2×2044002400² = 8355891622411520000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044002403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3158877 + ... + 3159523.

It is an arithmetic number, because the mean of its divisors is an integer number (37966320).

Almost surely, 2^2044002400 is an apocalyptic number.

2044002400 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 2044002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733575040).

2044002400 is an abundant number, since it is smaller than the sum of its proper divisors (3423147680).

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

2044002400 is a wasteful number, since it uses less digits than its factorization.

2044002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

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

The square root of 2044002400 is about 45210.6447642588. The cubic root of 2044002400 is about 1269.0940280555.

Adding to 2044002400 its reverse (42004402), we get a palindrome (2086006802).

It can be divided in two parts, 2044002 and 400, that added together give a palindrome (2044402).

The spelling of 2044002400 in words is "two billion, forty-four million, two thousand, four hundred".