2444400220240 has 80 divisors (see below), whose sum is σ = 6201763240320. Its totient is φ = 888603932160.

The previous prime is 2444400220193. The next prime is 2444400220253. The reversal of 2444400220240 is 420220044442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2444400220199 and 2444400220208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2502262 + ... + 3339178.

It is an arithmetic number, because the mean of its divisors is an integer number (77522040504).

Almost surely, 2^{2444400220240} is an apocalyptic number.

2444400220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444400220240 is an abundant number, since it is smaller than the sum of its proper divisors (3757363020080).

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

2444400220240 is a wasteful number, since it uses less digits than its factorization.

2444400220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840260 (or 840254 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2444400220240 its reverse (420220044442), we get a palindrome (2864620264682).

The spelling of 2444400220240 in words is "two trillion, four hundred forty-four billion, four hundred million, two hundred twenty thousand, two hundred forty".