2618084016 has 120 divisors (see below), whose sum is σ = 7451695680. Its totient is φ = 857945088.

The previous prime is 2618084003. The next prime is 2618084039. The reversal of 2618084016 is 6104808162.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4242940 + ... + 4243556.

It is an arithmetic number, because the mean of its divisors is an integer number (62097464).

Almost surely, 2^2618084016 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 2618084016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725847840).

2618084016 is an abundant number, since it is smaller than the sum of its proper divisors (4833611664).

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

2618084016 is a wasteful number, since it uses less digits than its factorization.

2618084016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2618084016 is about 51167.2162228902. The cubic root of 2618084016 is about 1378.2495512340.

The spelling of 2618084016 in words is "two billion, six hundred eighteen million, eighty-four thousand, sixteen".