2399813046960 has 640 divisors, whose sum is σ = 9321346252800. Its totient is φ = 498475192320.

The previous prime is 2399813046959. The next prime is 2399813046991. The reversal of 2399813046960 is 696403189932.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2399813046894 and 2399813046903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83839531 + ... + 83868149.

It is an arithmetic number, because the mean of its divisors is an integer number (14564603520).

Almost surely, 2^{2399813046960} is an apocalyptic number.

2399813046960 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 2399813046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660673126400).

2399813046960 is an abundant number, since it is smaller than the sum of its proper divisors (6921533205840).

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

2399813046960 is a wasteful number, since it uses less digits than its factorization.

2399813046960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28769 (or 28763 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 2399813046960 in words is "two trillion, three hundred ninety-nine billion, eight hundred thirteen million, forty-six thousand, nine hundred sixty".