2230221840 has 640 divisors, whose sum is σ = 9462251520. Its totient is φ = 420249600.

The previous prime is 2230221839. The next prime is 2230221883. The reversal of 2230221840 is 481220322.

It is a super-2 number, since 2×2230221840² = 9947778911225971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2230221840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9738846 + ... + 9739074.

It is an arithmetic number, because the mean of its divisors is an integer number (14784768).

Almost surely, 2^2230221840 is an apocalyptic number.

2230221840 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 2230221840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731125760).

2230221840 is an abundant number, since it is smaller than the sum of its proper divisors (7232029680).

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

2230221840 is a wasteful number, since it uses less digits than its factorization.

2230221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2230221840 is about 47225.2246156649. The cubic root of 2230221840 is about 1306.5198774204.

The spelling of 2230221840 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, eight hundred forty".