2559983616 has 180 divisors, whose sum is σ = 7681109072. Its totient is φ = 852000768.

The previous prime is 2559983609. The next prime is 2559983617. The reversal of 2559983616 is 6163899552.

It is a happy number.

2559983616 is a `hidden beast` number, since 2 + 5 + 599 + 8 + 36 + 16 = 666.

It is a super-2 number, since 2×2559983616² = 13107032228376870912, which contains 22 as substring.

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

Its product of digits (3499200) is a multiple of the sum of its prime divisors (648).

It is not an unprimeable number, because it can be changed into a prime (2559983617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980991 + ... + 3981633.

Almost surely, 2^2559983616 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 2559983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840554536).

2559983616 is an abundant number, since it is smaller than the sum of its proper divisors (5121125456).

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

2559983616 is an frugal number, since it uses more digits than its factorization.

2559983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 648 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 2559983616 is about 50596.2806538188. The cubic root of 2559983616 is about 1367.9778389762.

The spelling of 2559983616 in words is "two billion, five hundred fifty-nine million, nine hundred eighty-three thousand, six hundred sixteen".