2617320816 has 320 divisors, whose sum is σ = 8774438400. Its totient is φ = 738201600.

The previous prime is 2617320779. The next prime is 2617320817. The reversal of 2617320816 is 6180237162.

2617320816 is a `hidden beast` number, since 2 + 617 + 3 + 20 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2617320817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14460246 + ... + 14460426.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^2617320816 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 2617320816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2617320816 is an abundant number, since it is smaller than the sum of its proper divisors (6157117584).

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

2617320816 is a wasteful number, since it uses less digits than its factorization.

2617320816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2617320816 is about 51159.7577789418. The cubic root of 2617320816 is about 1378.1156133009.

Adding to 2617320816 its reverse (6180237162), we get a palindrome (8797557978).

The spelling of 2617320816 in words is "two billion, six hundred seventeen million, three hundred twenty thousand, eight hundred sixteen".