2613731328 has 336 divisors, whose sum is σ = 8515752336. Its totient is φ = 796262400.

The previous prime is 2613731327. The next prime is 2613731413. The reversal of 2613731328 is 8231373162.

2613731328 is a `hidden beast` number, since 2 + 613 + 7 + 3 + 1 + 32 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2613731292 and 2613731301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2613731321) 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 23 ways as a sum of consecutive naturals, for example, 25878478 + ... + 25878578.

It is an arithmetic number, because the mean of its divisors is an integer number (25344501).

Almost surely, 2^2613731328 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 2613731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257876168).

2613731328 is an abundant number, since it is smaller than the sum of its proper divisors (5902021008).

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

2613731328 is an equidigital number, since it uses as much as digits as its factorization.

2613731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2613731328 is about 51124.6645759168. The cubic root of 2613731328 is about 1377.4853259570.

The spelling of 2613731328 in words is "two billion, six hundred thirteen million, seven hundred thirty-one thousand, three hundred twenty-eight".