2444448240 has 320 divisors, whose sum is σ = 9129415680. Its totient is φ = 597611520.

The previous prime is 2444448233. The next prime is 2444448247. The reversal of 2444448240 is 428444442.

It is an interprime number because it is at equal distance from previous prime (2444448233) and next prime (2444448247).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2444448195 and 2444448204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444448247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7384875 + ... + 7385205.

It is an arithmetic number, because the mean of its divisors is an integer number (28529424).

Almost surely, 2^2444448240 is an apocalyptic number.

2444448240 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 2444448240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564707840).

2444448240 is an abundant number, since it is smaller than the sum of its proper divisors (6684967440).

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

2444448240 is a wasteful number, since it uses less digits than its factorization.

2444448240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 2444448240 is about 49441.3616317350. The cubic root of 2444448240 is about 1347.0807040897.

The spelling of 2444448240 in words is "two billion, four hundred forty-four million, four hundred forty-eight thousand, two hundred forty".