2106433680 has 320 divisors, whose sum is σ = 7352529408. Its totient is φ = 495452160.

The previous prime is 2106433669. The next prime is 2106433697. The reversal of 2106433680 is 863346012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8196112 + ... + 8196368.

Almost surely, 2^2106433680 is an apocalyptic number.

2106433680 is a gapful number since it is divisible by the number (20) 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 2106433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676264704).

2106433680 is an abundant number, since it is smaller than the sum of its proper divisors (5246095728).

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

2106433680 is a wasteful number, since it uses less digits than its factorization.

2106433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2106433680 is about 45895.9004705213. The cubic root of 2106433680 is about 1281.8855835901.

Adding to 2106433680 its reverse (863346012), we get a palindrome (2969779692).

The spelling of 2106433680 in words is "two billion, one hundred six million, four hundred thirty-three thousand, six hundred eighty".