2330404040000 has 280 divisors, whose sum is σ = 6001936296840. Its totient is φ = 896401408000.

The previous prime is 2330404039993. The next prime is 2330404040021. The reversal of 2330404040000 is 404040332.

It is a happy number.

2330404040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 2314511907904 + 15892132096 = 1521352^2 + 126064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298116092 + ... + 298123908.

Almost surely, 2^{2330404040000} is an apocalyptic number.

2330404040000 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 2330404040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000968148420).

2330404040000 is an abundant number, since it is smaller than the sum of its proper divisors (3671532256840).

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

2330404040000 is an equidigital number, since it uses as much as digits as its factorization.

2330404040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2330404040000 its reverse (404040332), we get a palindrome (2330808080332).

The spelling of 2330404040000 in words is "two trillion, three hundred thirty billion, four hundred four million, forty thousand".