2389340509920 has 3072 divisors, whose sum is σ = 11861124710400. Its totient is φ = 434281512960.

The previous prime is 2389340509883. The next prime is 2389340509921. The reversal of 2389340509920 is 299050439832.

2389340509920 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 3 + 40 + 509 + 92 + 0 = 666.

2389340509920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2389340509921) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3936310257 + ... + 3936310863.

It is an arithmetic number, because the mean of its divisors is an integer number (3861043200).

Almost surely, 2^{2389340509920} is an apocalyptic number.

2389340509920 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 2389340509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930562355200).

2389340509920 is an abundant number, since it is smaller than the sum of its proper divisors (9471784200480).

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

2389340509920 is a wasteful number, since it uses less digits than its factorization.

2389340509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2389340509920 in words is "two trillion, three hundred eighty-nine billion, three hundred forty million, five hundred nine thousand, nine hundred twenty".