2359207420416 has 960 divisors, whose sum is σ = 8905470013440. Its totient is φ = 605676994560.

The previous prime is 2359207420397. The next prime is 2359207420447. The reversal of 2359207420416 is 6140247029532.

2359207420416 is a `hidden beast` number, since 2 + 3 + 5 + 9 + 207 + 4 + 20 + 416 = 666.

It is a super-2 number, since 2×2359207420416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852621465 + ... + 852624231.

It is an arithmetic number, because the mean of its divisors is an integer number (9276531264).

Almost surely, 2^{2359207420416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2359207420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452735006720).

2359207420416 is an abundant number, since it is smaller than the sum of its proper divisors (6546262593024).

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

2359207420416 is an equidigital number, since it uses as much as digits as its factorization.

2359207420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2359207420416 in words is "two trillion, three hundred fifty-nine billion, two hundred seven million, four hundred twenty thousand, four hundred sixteen".