2223636480 has 432 divisors, whose sum is σ = 8587804680. Its totient is φ = 528482304.

The previous prime is 2223636449. The next prime is 2223636529. The reversal of 2223636480 is 846363222.

2223636480 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 6 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1416167424 + 807469056 = 37632^2 + 28416^2 .

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 (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76677106 + ... + 76677134.

Almost surely, 2^2223636480 is an apocalyptic number.

2223636480 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 2223636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293902340).

2223636480 is an abundant number, since it is smaller than the sum of its proper divisors (6364168200).

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

2223636480 is an equidigital number, since it uses as much as digits as its factorization.

2223636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2223636480 is about 47155.4501622029. The cubic root of 2223636480 is about 1305.2326532842.

The spelling of 2223636480 in words is "two billion, two hundred twenty-three million, six hundred thirty-six thousand, four hundred eighty".