2400330000 has 400 divisors, whose sum is σ = 8367321600. Its totient is φ = 591360000.

The previous prime is 2400329989. The next prime is 2400330001. The reversal of 2400330000 is 330042.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2400330001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26969956 + ... + 26970044.

It is an arithmetic number, because the mean of its divisors is an integer number (20918304).

Almost surely, 2^2400330000 is an apocalyptic number.

2400330000 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 2400330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183660800).

2400330000 is an abundant number, since it is smaller than the sum of its proper divisors (5966991600).

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

2400330000 is a wasteful number, since it uses less digits than its factorization.

2400330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2400330000 is about 48993.1627882912. The cubic root of 2400330000 is about 1338.9272620391.

Adding to 2400330000 its reverse (330042), we get a palindrome (2400660042).

The spelling of 2400330000 in words is "two billion, four hundred million, three hundred thirty thousand".