2216144000 has 256 divisors, whose sum is σ = 6446269440. Its totient is φ = 741888000.

The previous prime is 2216143999. The next prime is 2216144003. The reversal of 2216144000 is 4416122.

It is a super-2 number, since 2×2216144000² = 9822588457472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2216144003) 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 31 ways as a sum of consecutive naturals, for example, 5263790 + ... + 5264210.

It is an arithmetic number, because the mean of its divisors is an integer number (25180740).

Almost surely, 2^2216144000 is an apocalyptic number.

2216144000 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 2216144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223134720).

2216144000 is an abundant number, since it is smaller than the sum of its proper divisors (4230125440).

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

2216144000 is an equidigital number, since it uses as much as digits as its factorization.

2216144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2216144000 is about 47075.9386523519. The cubic root of 2216144000 is about 1303.7650222090.

The spelling of 2216144000 in words is "two billion, two hundred sixteen million, one hundred forty-four thousand".