2613282816 has 96 divisors (see below), whose sum is σ = 7270361280. Its totient is φ = 833175552.

The previous prime is 2613282803. The next prime is 2613282827. The reversal of 2613282816 is 6182823162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 132066 + ... + 150558.

It is an arithmetic number, because the mean of its divisors is an integer number (75732930).

Almost surely, 2^2613282816 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 2613282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635180640).

2613282816 is an abundant number, since it is smaller than the sum of its proper divisors (4657078464).

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

2613282816 is a wasteful number, since it uses less digits than its factorization.

2613282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18521 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2613282816 is about 51120.2779335168. The cubic root of 2613282816 is about 1377.4065300438.

The spelling of 2613282816 in words is "two billion, six hundred thirteen million, two hundred eighty-two thousand, eight hundred sixteen".