2400330240 has 960 divisors, whose sum is σ = 10971797760. Its totient is φ = 486604800.

The previous prime is 2400330169. The next prime is 2400330241. The reversal of 2400330240 is 420330042.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2400330240² = 11523170522116915200, which contains 22 as substring.

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 (2400330241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58544620 + ... + 58544660.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2^2400330240 is an apocalyptic number.

2400330240 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 2400330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

2400330240 is an abundant number, since it is smaller than the sum of its proper divisors (8571467520).

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

2400330240 is a wasteful number, since it uses less digits than its factorization.

2400330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2400330240 is about 48993.1652376125. The cubic root of 2400330240 is about 1338.9273066639.

Adding to 2400330240 its reverse (420330042), we get a palindrome (2820660282).

The spelling of 2400330240 in words is "two billion, four hundred million, three hundred thirty thousand, two hundred forty".