2441000320 has 128 divisors (see below), whose sum is σ = 6430920480. Its totient is φ = 878592000.

The previous prime is 2441000311. The next prime is 2441000321. The reversal of 2441000320 is 230001442.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 2441000294 and 2441000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441000321) 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, 709324 + ... + 712756.

Almost surely, 2^2441000320 is an apocalyptic number.

2441000320 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 2441000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215460240).

2441000320 is an abundant number, since it is smaller than the sum of its proper divisors (3989920160).

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

2441000320 is a wasteful number, since it uses less digits than its factorization.

2441000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2441000320 is about 49406.4805465842. The cubic root of 2441000320 is about 1346.4470488946.

Adding to 2441000320 its reverse (230001442), we get a palindrome (2671001762).

The spelling of 2441000320 in words is "two billion, four hundred forty-one million, three hundred twenty", and thus it is an aban number.