2396809789920 has 960 divisors, whose sum is σ = 10958795527680. Its totient is φ = 479080230912.

The previous prime is 2396809789889. The next prime is 2396809789921. The reversal of 2396809789920 is 299879086932.

2396809789920 is a `hidden beast` number, since 2 + 396 + 80 + 9 + 78 + 9 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2396809789921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22354359 + ... + 22461321.

It is an arithmetic number, because the mean of its divisors is an integer number (11415412008).

Almost surely, 2^{2396809789920} is an apocalyptic number.

2396809789920 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 2396809789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479397763840).

2396809789920 is an abundant number, since it is smaller than the sum of its proper divisors (8561985737760).

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

2396809789920 is a wasteful number, since it uses less digits than its factorization.

2396809789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107029 (or 107012 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 2396809789920 in words is "two trillion, three hundred ninety-six billion, eight hundred nine million, seven hundred eighty-nine thousand, nine hundred twenty".