2814216636 has 96 divisors (see below), whose sum is σ = 8259568128. Its totient is φ = 724469760.

The previous prime is 2814216619. The next prime is 2814216641. The reversal of 2814216636 is 6366124182.

It is a junction number, because it is equal to n+sod(n) for n = 2814216594 and 2814216603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90936 + ... + 117888.

It is an arithmetic number, because the mean of its divisors is an integer number (86037168).

Almost surely, 2^2814216636 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 2814216636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129784064).

2814216636 is an abundant number, since it is smaller than the sum of its proper divisors (5445351492).

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

2814216636 is a wasteful number, since it uses less digits than its factorization.

2814216636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27091 (or 27089 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2814216636 is about 53049.1907195576. The cubic root of 2814216636 is about 1411.8411700370.

The spelling of 2814216636 in words is "two billion, eight hundred fourteen million, two hundred sixteen thousand, six hundred thirty-six".