2116213824 has 56 divisors (see below), whose sum is σ = 5641957728. Its totient is φ = 700011520.

The previous prime is 2116213817. The next prime is 2116213849. The reversal of 2116213824 is 4283126112.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2116213791 and 2116213800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16917 + ... + 67220.

Almost surely, 2^2116213824 is an apocalyptic number.

2116213824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2116213824 is an abundant number, since it is smaller than the sum of its proper divisors (3525743904).

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

2116213824 is a wasteful number, since it uses less digits than its factorization.

2116213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84283 (or 84273 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2116213824 is about 46002.3241152010. The cubic root of 2116213824 is about 1283.8664470325.

Adding to 2116213824 its reverse (4283126112), we get a palindrome (6399339936).

The spelling of 2116213824 in words is "two billion, one hundred sixteen million, two hundred thirteen thousand, eight hundred twenty-four".