2618446896 has 120 divisors (see below), whose sum is σ = 8356027680. Its totient is φ = 758274048.

The previous prime is 2618446877. The next prime is 2618446903. The reversal of 2618446896 is 6986448162.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 9316 + ... + 72963.

It is an arithmetic number, because the mean of its divisors is an integer number (69633564).

Almost surely, 2^2618446896 is an apocalyptic number.

2618446896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2618446896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178013840).

2618446896 is an abundant number, since it is smaller than the sum of its proper divisors (5737580784).

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

2618446896 is a wasteful number, since it uses less digits than its factorization.

2618446896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82323 (or 82314 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 2618446896 is about 51170.7621205704. The cubic root of 2618446896 is about 1378.3132258001.

The spelling of 2618446896 in words is "two billion, six hundred eighteen million, four hundred forty-six thousand, eight hundred ninety-six".