2440240320 has 224 divisors, whose sum is σ = 8901720576. Its totient is φ = 554803200.

The previous prime is 2440240267. The next prime is 2440240339. The reversal of 2440240320 is 230420442.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417060 + ... + 1418780.

It is an arithmetic number, because the mean of its divisors is an integer number (39739824).

Almost surely, 2^2440240320 is an apocalyptic number.

2440240320 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 2440240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450860288).

2440240320 is an abundant number, since it is smaller than the sum of its proper divisors (6461480256).

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

2440240320 is a wasteful number, since it uses less digits than its factorization.

2440240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2440240320 is about 49398.7886491157. The cubic root of 2440240320 is about 1346.3072966289.

Adding to 2440240320 its reverse (230420442), we get a palindrome (2670660762).

The spelling of 2440240320 in words is "two billion, four hundred forty million, two hundred forty thousand, three hundred twenty".