2217824064 has 84 divisors (see below), whose sum is σ = 6592482624. Its totient is φ = 739269504.

The previous prime is 2217824053. The next prime is 2217824069. The reversal of 2217824064 is 4604287122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217824069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55752 + ... + 86855.

It is an arithmetic number, because the mean of its divisors is an integer number (78481936).

Almost surely, 2^2217824064 is an apocalyptic number.

2217824064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2217824064 is an abundant number, since it is smaller than the sum of its proper divisors (4374658560).

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

2217824064 is an equidigital number, since it uses as much as digits as its factorization.

2217824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142634 (or 142612 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2217824064 is about 47093.7794618355. The cubic root of 2217824064 is about 1304.0944014361.

It can be divided in two parts, 2217 and 824064, that added together give a square (826281 = 909²).

The spelling of 2217824064 in words is "two billion, two hundred seventeen million, eight hundred twenty-four thousand, sixty-four".