2206179456 has 128 divisors (see below), whose sum is σ = 6368423040. Its totient is φ = 672645120.

The previous prime is 2206179413. The next prime is 2206179463. The reversal of 2206179456 is 6549716022.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 562141 + ... + 566051.

It is an arithmetic number, because the mean of its divisors is an integer number (49753305).

Almost surely, 2^2206179456 is an apocalyptic number.

2206179456 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 2206179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184211520).

2206179456 is an abundant number, since it is smaller than the sum of its proper divisors (4162243584).

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

2206179456 is a wasteful number, since it uses less digits than its factorization.

2206179456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2206179456 is about 46969.9846284838. The cubic root of 2206179456 is about 1301.8080278358.

The spelling of 2206179456 in words is "two billion, two hundred six million, one hundred seventy-nine thousand, four hundred fifty-six".