2440059120 has 160 divisors (see below), whose sum is σ = 8443060800. Its totient is φ = 647709696.

The previous prime is 2440059119. The next prime is 2440059157. The reversal of 2440059120 is 219500442.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 492174 + ... + 497106.

It is an arithmetic number, because the mean of its divisors is an integer number (52769130).

Almost surely, 2^2440059120 is an apocalyptic number.

2440059120 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 2440059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221530400).

2440059120 is an abundant number, since it is smaller than the sum of its proper divisors (6003001680).

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

2440059120 is a wasteful number, since it uses less digits than its factorization.

2440059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2440059120 is about 49396.9545619970. The cubic root of 2440059120 is about 1346.2739724628.

Adding to 2440059120 its reverse (219500442), we get a palindrome (2659559562).

The spelling of 2440059120 in words is "two billion, four hundred forty million, fifty-nine thousand, one hundred twenty".