2680107100 has 72 divisors (see below), whose sum is σ = 6358843008. Its totient is φ = 972388800.

The previous prime is 2680107097. The next prime is 2680107109. The reversal of 2680107100 is 17010862.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680107109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533199 + ... + 538201.

It is an arithmetic number, because the mean of its divisors is an integer number (88317264).

Almost surely, 2^2680107100 is an apocalyptic number.

2680107100 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 2680107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179421504).

2680107100 is an abundant number, since it is smaller than the sum of its proper divisors (3678735908).

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

2680107100 is a wasteful number, since it uses less digits than its factorization.

2680107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2680107100 is about 51769.7508203391. The cubic root of 2680107100 is about 1389.0484144824.

Adding to 2680107100 its reverse (17010862), we get a palindrome (2697117962).

The spelling of 2680107100 in words is "two billion, six hundred eighty million, one hundred seven thousand, one hundred".