2210681290896 has 405 divisors, whose sum is σ = 6976433489259. Its totient is φ = 678282688512.

The previous prime is 2210681290823. The next prime is 2210681290901. The reversal of 2210681290896 is 6980921860122.

It is a happy number.

The square root of 2210681290896 is 1486836.

It is a perfect power (a square), and thus also a powerful number.

2210681290896 is a `hidden beast` number, since 2 + 210 + 68 + 1 + 290 + 89 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 480298897296 + 1730382393600 = 693036^2 + 1315440^2 .

It is a super-2 number, since 2×2210681290896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6262553056 + ... + 6262553408.

Almost surely, 2^{2210681290896} is an apocalyptic number.

2210681290896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2210681290896 is the 1486836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210681290896

2210681290896 is an abundant number, since it is smaller than the sum of its proper divisors (4765752198363).

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

2210681290896 is an frugal number, since it uses more digits than its factorization.

2210681290896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2210681290896 in words is "two trillion, two hundred ten billion, six hundred eighty-one million, two hundred ninety thousand, eight hundred ninety-six".