2221712064 has 504 divisors, whose sum is σ = 7978767888. Its totient is φ = 604661760.

The previous prime is 2221712063. The next prime is 2221712107. The reversal of 2221712064 is 4602171222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2221712063) 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 71 ways as a sum of consecutive naturals, for example, 60046254 + ... + 60046290.

Almost surely, 2^2221712064 is an apocalyptic number.

2221712064 is a gapful number since it is divisible by the number (24) 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 2221712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989383944).

2221712064 is an abundant number, since it is smaller than the sum of its proper divisors (5757055824).

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

2221712064 is an equidigital number, since it uses as much as digits as its factorization.

2221712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2221712064 is about 47135.0407234363. The cubic root of 2221712064 is about 1304.8560126512.

Adding to 2221712064 its reverse (4602171222), we get a palindrome (6823883286).

The spelling of 2221712064 in words is "two billion, two hundred twenty-one million, seven hundred twelve thousand, sixty-four".