2320045413840 has 1920 divisors, whose sum is σ = 10912901529600. Its totient is φ = 441776332800.

The previous prime is 2320045413823. The next prime is 2320045413841. The reversal of 2320045413840 is 483145400232.

2320045413840 is a `hidden beast` number, since 2 + 32 + 0 + 0 + 4 + 541 + 3 + 84 + 0 = 666.

2320045413840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2320045413840³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2320045413795 and 2320045413804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320045413841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1077586204 + ... + 1077588356.

It is an arithmetic number, because the mean of its divisors is an integer number (5683802880).

Almost surely, 2^{2320045413840} is an apocalyptic number.

2320045413840 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 2320045413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456450764800).

2320045413840 is an abundant number, since it is smaller than the sum of its proper divisors (8592856115760).

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

2320045413840 is a wasteful number, since it uses less digits than its factorization.

2320045413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2320045413840 in words is "two trillion, three hundred twenty billion, forty-five million, four hundred thirteen thousand, eight hundred forty".