2121718368 has 384 divisors, whose sum is σ = 7357464576. Its totient is φ = 519321600.

The previous prime is 2121718367. The next prime is 2121718393. The reversal of 2121718368 is 8638171212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121718367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10770046 + ... + 10770242.

It is an arithmetic number, because the mean of its divisors is an integer number (19160064).

Almost surely, 2^2121718368 is an apocalyptic number.

2121718368 is a gapful number since it is divisible by the number (28) 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 2121718368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678732288).

2121718368 is an abundant number, since it is smaller than the sum of its proper divisors (5235746208).

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

2121718368 is a wasteful number, since it uses less digits than its factorization.

2121718368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 2121718368 is about 46062.1142371906. The cubic root of 2121718368 is about 1284.9786504449.

The spelling of 2121718368 in words is "two billion, one hundred twenty-one million, seven hundred eighteen thousand, three hundred sixty-eight".