2218166496 has 432 divisors, whose sum is σ = 8046655344. Its totient is φ = 574414848.

The previous prime is 2218166479. The next prime is 2218166549. The reversal of 2218166496 is 6946618122.

2218166496 is a `hidden beast` number, since 2 + 21 + 81 + 66 + 496 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 19629736 + ... + 19629848.

It is an arithmetic number, because the mean of its divisors is an integer number (18626517).

Almost surely, 2^2218166496 is an apocalyptic number.

2218166496 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 2218166496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023327672).

2218166496 is an abundant number, since it is smaller than the sum of its proper divisors (5828488848).

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

2218166496 is a wasteful number, since it uses less digits than its factorization.

2218166496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2218166496 is about 47097.4149609084. The cubic root of 2218166496 is about 1304.1615153669.

The spelling of 2218166496 in words is "two billion, two hundred eighteen million, one hundred sixty-six thousand, four hundred ninety-six".