2221582468 has 48 divisors (see below), whose sum is σ = 4609785600. Its totient is φ = 916594560.

The previous prime is 2221582459. The next prime is 2221582483. The reversal of 2221582468 is 8642851222.

It is a self number, because there is not a number n which added to its sum of digits gives 2221582468.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 287698 + ... + 295318.

It is an arithmetic number, because the mean of its divisors is an integer number (96037200).

Almost surely, 2^2221582468 is an apocalyptic number.

2221582468 is a gapful number since it is divisible by the number (28) 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 2221582468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304892800).

2221582468 is an abundant number, since it is smaller than the sum of its proper divisors (2388203132).

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

2221582468 is a wasteful number, since it uses less digits than its factorization.

2221582468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 8018 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 2221582468 is about 47133.6659724236. The cubic root of 2221582468 is about 1304.8306407153.

The spelling of 2221582468 in words is "two billion, two hundred twenty-one million, five hundred eighty-two thousand, four hundred sixty-eight".