2616418848 has 96 divisors (see below), whose sum is σ = 7128317952. Its totient is φ = 839404800.

The previous prime is 2616418781. The next prime is 2616418867. The reversal of 2616418848 is 8488146162.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2616418797 and 2616418806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566115 + ... + 570717.

It is an arithmetic number, because the mean of its divisors is an integer number (74253312).

Almost surely, 2^2616418848 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 2616418848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564158976).

2616418848 is an abundant number, since it is smaller than the sum of its proper divisors (4511899104).

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

2616418848 is a wasteful number, since it uses less digits than its factorization.

2616418848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4830 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 2616418848 is about 51150.9418095112. The cubic root of 2616418848 is about 1377.9572886774.

The spelling of 2616418848 in words is "two billion, six hundred sixteen million, four hundred eighteen thousand, eight hundred forty-eight".