2440123440 has 160 divisors (see below), whose sum is σ = 7786644480. Its totient is φ = 631805952.

The previous prime is 2440123421. The next prime is 2440123447. The reversal of 2440123440 is 443210442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2440123440.

It is not an unprimeable number, because it can be changed into a prime (2440123447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544571 + ... + 1546149.

It is an arithmetic number, because the mean of its divisors is an integer number (48666528).

Almost surely, 2^2440123440 is an apocalyptic number.

2440123440 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 2440123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893322240).

2440123440 is an abundant number, since it is smaller than the sum of its proper divisors (5346521040).

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

2440123440 is a wasteful number, since it uses less digits than its factorization.

2440123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2440123440 is about 49397.6056099888. The cubic root of 2440123440 is about 1346.2858016272.

Adding to 2440123440 its reverse (443210442), we get a palindrome (2883333882).

The spelling of 2440123440 in words is "two billion, four hundred forty million, one hundred twenty-three thousand, four hundred forty".