2444042400 has 288 divisors, whose sum is σ = 8656320960. Its totient is φ = 596459520.

The previous prime is 2444042389. The next prime is 2444042407. The reversal of 2444042400 is 42404442.

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 (2444042407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508791 + ... + 1510409.

It is an arithmetic number, because the mean of its divisors is an integer number (30056670).

Almost surely, 2^2444042400 is an apocalyptic number.

2444042400 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 2444042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328160480).

2444042400 is an abundant number, since it is smaller than the sum of its proper divisors (6212278560).

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

2444042400 is a wasteful number, since it uses less digits than its factorization.

2444042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1683 counting only the distinct ones).

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

The square root of 2444042400 is about 49437.2572054721. The cubic root of 2444042400 is about 1347.0061501839.

Adding to 2444042400 its reverse (42404442), we get a palindrome (2486446842).

It can be divided in two parts, 2444042 and 400, that added together give a palindrome (2444442).

The spelling of 2444042400 in words is "two billion, four hundred forty-four million, forty-two thousand, four hundred".