2221748000 has 192 divisors, whose sum is σ = 5731689600. Its totient is φ = 845286400.

The previous prime is 2221747961. The next prime is 2221748069. The reversal of 2221748000 is 8471222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12411911 + ... + 12412089.

It is an arithmetic number, because the mean of its divisors is an integer number (29852550).

Almost surely, 2^2221748000 is an apocalyptic number.

2221748000 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 2221748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865844800).

2221748000 is an abundant number, since it is smaller than the sum of its proper divisors (3509941600).

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

2221748000 is a wasteful number, since it uses less digits than its factorization.

2221748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2221748000 is about 47135.4219244933. The cubic root of 2221748000 is about 1304.8630479242.

The spelling of 2221748000 in words is "two billion, two hundred twenty-one million, seven hundred forty-eight thousand".