2106300672 has 324 divisors, whose sum is σ = 7336741776. Its totient is φ = 600929280.

The previous prime is 2106300643. The next prime is 2106300683. The reversal of 2106300672 is 2760036012.

It is a happy number.

2106300672 is a `hidden beast` number, since 21 + 0 + 630 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047847 + ... + 3048537.

Almost surely, 2^2106300672 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 2106300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668370888).

2106300672 is an abundant number, since it is smaller than the sum of its proper divisors (5230441104).

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

2106300672 is an frugal number, since it uses more digits than its factorization.

2106300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2106300672 is about 45894.4514293395. The cubic root of 2106300672 is about 1281.8586020259.

Adding to 2106300672 its reverse (2760036012), we get a palindrome (4866336684).

The spelling of 2106300672 in words is "two billion, one hundred six million, three hundred thousand, six hundred seventy-two".