2300216016 has 240 divisors, whose sum is σ = 7301639808. Its totient is φ = 620928000.

The previous prime is 2300216011. The next prime is 2300216021. The reversal of 2300216016 is 6106120032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2300216011) and next prime (2300216021).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2300215983 and 2300216001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300216011) 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 47 ways as a sum of consecutive naturals, for example, 5463486 + ... + 5463906.

Almost surely, 2^2300216016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300216016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650819904).

2300216016 is an abundant number, since it is smaller than the sum of its proper divisors (5001423792).

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

2300216016 is a wasteful number, since it uses less digits than its factorization.

2300216016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2300216016 is about 47960.5673027332. The cubic root of 2300216016 is about 1320.0474454939.

Adding to 2300216016 its reverse (6106120032), we get a palindrome (8406336048).

The spelling of 2300216016 in words is "two billion, three hundred million, two hundred sixteen thousand, sixteen".