2219112000 has 1008 divisors, whose sum is σ = 10041593328. Its totient is φ = 464486400.

The previous prime is 2219111977. The next prime is 2219112023. The reversal of 2219112000 is 2119122.

It is an interprime number because it is at equal distance from previous prime (2219111977) and next prime (2219112023).

It can be written as a sum of positive squares in 8 ways, for example, as 115605504 + 2103506496 = 10752^2 + 45864^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 59975982 + ... + 59976018.

Almost surely, 2^2219112000 is an apocalyptic number.

2219112000 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 2219112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020796664).

2219112000 is an abundant number, since it is smaller than the sum of its proper divisors (7822481328).

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

2219112000 is a wasteful number, since it uses less digits than its factorization.

2219112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2219112000 is about 47107.4516398414. The cubic root of 2219112000 is about 1304.3467907238.

It can be divided in two parts, 22191 and 12000, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 2219112000 in words is "two billion, two hundred nineteen million, one hundred twelve thousand".