2110216416 has 96 divisors (see below), whose sum is σ = 6906187008. Its totient is φ = 548106240.

The previous prime is 2110216403. The next prime is 2110216417. The reversal of 2110216416 is 6146120112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110216417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135345 + ... + 150128.

It is an arithmetic number, because the mean of its divisors is an integer number (71939448).

Almost surely, 2^2110216416 is an apocalyptic number.

It is an amenable number.

2110216416 is an abundant number, since it is smaller than the sum of its proper divisors (4795970592).

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

2110216416 is a wasteful number, since it uses less digits than its factorization.

2110216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285504 (or 285496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2110216416 is about 45937.0919410448. The cubic root of 2110216416 is about 1282.6524619162.

Adding to 2110216416 its reverse (6146120112), we get a palindrome (8256336528).

The spelling of 2110216416 in words is "two billion, one hundred ten million, two hundred sixteen thousand, four hundred sixteen".