2101900680 has 288 divisors, whose sum is σ = 7623022680. Its totient is φ = 501811200.

The previous prime is 2101900667. The next prime is 2101900681. The reversal of 2101900680 is 860091012.

It can be written as a sum of positive squares in 4 ways, for example, as 1949575716 + 152324964 = 44154^2 + 12342^2 .

It is not an unprimeable number, because it can be changed into a prime (2101900681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3179550 + ... + 3180210.

Almost surely, 2^2101900680 is an apocalyptic number.

2101900680 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 2101900680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811511340).

2101900680 is an abundant number, since it is smaller than the sum of its proper divisors (5521122000).

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

2101900680 is a wasteful number, since it uses less digits than its factorization.

2101900680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2101900680 is about 45846.4903782176. The cubic root of 2101900680 is about 1280.9653931238.

Adding to 2101900680 its reverse (860091012), we get a palindrome (2961991692).

The spelling of 2101900680 in words is "two billion, one hundred one million, nine hundred thousand, six hundred eighty".