2599382016 has 660 divisors, whose sum is σ = 10014480784. Its totient is φ = 656916480.

The previous prime is 2599382011. The next prime is 2599382017. The reversal of 2599382016 is 6102839952.

2599382016 is a `hidden beast` number, since 2 + 599 + 38 + 20 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2599382011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70253550 + ... + 70253586.

Almost surely, 2^2599382016 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 2599382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007240392).

2599382016 is an abundant number, since it is smaller than the sum of its proper divisors (7415098768).

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

2599382016 is a wasteful number, since it uses less digits than its factorization.

2599382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2599382016 is about 50984.1349441177. The cubic root of 2599382016 is about 1374.9599134980.

The spelling of 2599382016 in words is "two billion, five hundred ninety-nine million, three hundred eighty-two thousand, sixteen".