2226638160 has 240 divisors, whose sum is σ = 7922992896. Its totient is φ = 580898304.

The previous prime is 2226638159. The next prime is 2226638231. The reversal of 2226638160 is 618366222.

2226638160 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 638 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×2226638160⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 912462 + ... + 914898.

Almost surely, 2^2226638160 is an apocalyptic number.

2226638160 is a gapful number since it is divisible by the number (20) 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 2226638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961496448).

2226638160 is an abundant number, since it is smaller than the sum of its proper divisors (5696354736).

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

2226638160 is a wasteful number, since it uses less digits than its factorization.

2226638160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2226638160 is about 47187.2669265767. The cubic root of 2226638160 is about 1305.8196990522.

The spelling of 2226638160 in words is "two billion, two hundred twenty-six million, six hundred thirty-eight thousand, one hundred sixty".