2330413620040 has 128 divisors (see below), whose sum is σ = 6058338520320. Its totient is φ = 797343539200.

The previous prime is 2330413620013. The next prime is 2330413620049. The reversal of 2330413620040 is 400263140332.

It is a junction number, because it is equal to n+sod(n) for n = 2330413619990 and 2330413620008.

It is not an unprimeable number, because it can be changed into a prime (2330413620049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26832285 + ... + 26918995.

It is an arithmetic number, because the mean of its divisors is an integer number (47330769690).

Almost surely, 2^{2330413620040} is an apocalyptic number.

2330413620040 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 2330413620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029169260160).

2330413620040 is an abundant number, since it is smaller than the sum of its proper divisors (3727924900280).

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

2330413620040 is a wasteful number, since it uses less digits than its factorization.

2330413620040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90343 (or 90339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2330413620040 its reverse (400263140332), we get a palindrome (2730676760372).

The spelling of 2330413620040 in words is "two trillion, three hundred thirty billion, four hundred thirteen million, six hundred twenty thousand, forty".