2681720630100 has 720 divisors, whose sum is σ = 9147014553600. Its totient is φ = 678785184000.

The previous prime is 2681720630093. The next prime is 2681720630117. The reversal of 2681720630100 is 10360271862.

2681720630100 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 7 + 2 + 0 + 630 + 10 + 0 = 666.

It is a super-3 number, since 3×2681720630100³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 6400287691 + ... + 6400288109.

It is an arithmetic number, because the mean of its divisors is an integer number (12704186880).

Almost surely, 2^{2681720630100} is an apocalyptic number.

2681720630100 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 2681720630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573507276800).

2681720630100 is an abundant number, since it is smaller than the sum of its proper divisors (6465293923500).

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

2681720630100 is a wasteful number, since it uses less digits than its factorization.

2681720630100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2681720630100 in words is "two trillion, six hundred eighty-one billion, seven hundred twenty million, six hundred thirty thousand, one hundred".