2440000000 has 160 divisors (see below), whose sum is σ = 6193929456. Its totient is φ = 960000000.

The previous prime is 2439999997. The next prime is 2440000001. The reversal of 2440000000 is 442.

It can be written as a sum of positive squares in 8 ways, for example, as 2439569664 + 430336 = 49392^2 + 656^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2440000001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39999970 + ... + 40000030.

Almost surely, 2^2440000000 is an apocalyptic number.

2440000000 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 2440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096964728).

2440000000 is an abundant number, since it is smaller than the sum of its proper divisors (3753929456).

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

2440000000 is an frugal number, since it uses more digits than its factorization.

2440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2440000000 is about 49396.3561409139. The cubic root of 2440000000 is about 1346.2630994531.

Adding to 2440000000 its reverse (442), we get a palindrome (2440000442).

The spelling of 2440000000 in words is "two billion, four hundred forty million", and thus it is an aban number.