2320328989440 has 1728 divisors, whose sum is σ = 10681304309760. Its totient is φ = 466410700800.

The previous prime is 2320328989439. The next prime is 2320328989457. The reversal of 2320328989440 is 449898230232.

2320328989440 is a `hidden beast` number, since 23 + 20 + 3 + 2 + 89 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 907440642 + ... + 907443198.

Almost surely, 2^{2320328989440} is an apocalyptic number.

2320328989440 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 2320328989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340652154880).

2320328989440 is an abundant number, since it is smaller than the sum of its proper divisors (8360975320320).

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

2320328989440 is a wasteful number, since it uses less digits than its factorization.

2320328989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2320328989440 in words is "two trillion, three hundred twenty billion, three hundred twenty-eight million, nine hundred eighty-nine thousand, four hundred forty".