2221223664 has 160 divisors (see below), whose sum is σ = 6528796416. Its totient is φ = 644751360.

The previous prime is 2221223647. The next prime is 2221223729. The reversal of 2221223664 is 4663221222.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308064 + ... + 1309760.

Almost surely, 2^2221223664 is an apocalyptic number.

2221223664 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 2221223664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264398208).

2221223664 is an abundant number, since it is smaller than the sum of its proper divisors (4307572752).

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

2221223664 is a wasteful number, since it uses less digits than its factorization.

2221223664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2221223664 is about 47129.8595796762. The cubic root of 2221223664 is about 1304.7603899418.

Adding to 2221223664 its reverse (4663221222), we get a palindrome (6884444886).

The spelling of 2221223664 in words is "two billion, two hundred twenty-one million, two hundred twenty-three thousand, six hundred sixty-four".