2440444032 has 128 divisors (see below), whose sum is σ = 7756896000. Its totient is φ = 750892032.

The previous prime is 2440444007. The next prime is 2440444033. The reversal of 2440444032 is 2304440442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2440443987 and 2440444005.

It is not an unprimeable number, because it can be changed into a prime (2440444033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17769 + ... + 72087.

It is an arithmetic number, because the mean of its divisors is an integer number (60600750).

Almost surely, 2^2440444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878448000).

2440444032 is an abundant number, since it is smaller than the sum of its proper divisors (5316451968).

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

2440444032 is a wasteful number, since it uses less digits than its factorization.

2440444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54355 (or 54337 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2440444032 is about 49400.8505189941. The cubic root of 2440444032 is about 1346.3447589665.

Adding to 2440444032 its reverse (2304440442), we get a palindrome (4744884474).

The spelling of 2440444032 in words is "two billion, four hundred forty million, four hundred forty-four thousand, thirty-two".