2121314416 has 60 divisors (see below), whose sum is σ = 4537541176. Its totient is φ = 955031040.

The previous prime is 2121314411. The next prime is 2121314423. The reversal of 2121314416 is 6144131212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121314411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346615 + ... + 352681.

Almost surely, 2^2121314416 is an apocalyptic number.

2121314416 is a gapful number since it is divisible by the number (26) 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 2121314416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268770588).

2121314416 is an abundant number, since it is smaller than the sum of its proper divisors (2416226760).

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

2121314416 is a wasteful number, since it uses less digits than its factorization.

2121314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6123 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 2121314416 is about 46057.7291667750. The cubic root of 2121314416 is about 1284.8970966364.

Adding to 2121314416 its reverse (6144131212), we get a palindrome (8265445628).

The spelling of 2121314416 in words is "two billion, one hundred twenty-one million, three hundred fourteen thousand, four hundred sixteen".