2216016000 has 384 divisors, whose sum is σ = 8687952000. Its totient is φ = 536832000.

The previous prime is 2216015981. The next prime is 2216016007. The reversal of 2216016000 is 6106122.

It is a happy number.

2216016000 is a `hidden beast` number, since 2 + 2 + 1 + 60 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216016007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583301 + ... + 1584699.

It is an arithmetic number, because the mean of its divisors is an integer number (22624875).

Almost surely, 2^2216016000 is an apocalyptic number.

2216016000 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 2216016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343976000).

2216016000 is an abundant number, since it is smaller than the sum of its proper divisors (6471936000).

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

2216016000 is a wasteful number, since it uses less digits than its factorization.

2216016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2216016000 is about 47074.5791271680. The cubic root of 2216016000 is about 1303.7399207812.

The spelling of 2216016000 in words is "two billion, two hundred sixteen million, sixteen thousand".