2440003104 has 288 divisors, whose sum is σ = 9107804160. Its totient is φ = 600307200.

The previous prime is 2440003061. The next prime is 2440003109. The reversal of 2440003104 is 4013000442.

2440003104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2440003109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418449 + ... + 424239.

It is an arithmetic number, because the mean of its divisors is an integer number (31624320).

Almost surely, 2^2440003104 is an apocalyptic number.

2440003104 is a gapful number since it is divisible by the number (24) 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 2440003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553902080).

2440003104 is an abundant number, since it is smaller than the sum of its proper divisors (6667801056).

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

2440003104 is a wasteful number, since it uses less digits than its factorization.

2440003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2440003104 is about 49396.3875602255. The cubic root of 2440003104 is about 1346.2636703272.

Adding to 2440003104 its reverse (4013000442), we get a palindrome (6453003546).

The spelling of 2440003104 in words is "two billion, four hundred forty million, three thousand, one hundred four".