2100871080 has 576 divisors, whose sum is σ = 9007951680. Its totient is φ = 435456000.

The previous prime is 2100871079. The next prime is 2100871093. The reversal of 2100871080 is 801780012.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 5238880 + ... + 5239280.

It is an arithmetic number, because the mean of its divisors is an integer number (15638805).

Almost surely, 2^2100871080 is an apocalyptic number.

2100871080 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 2100871080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503975840).

2100871080 is an abundant number, since it is smaller than the sum of its proper divisors (6907080600).

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

2100871080 is a wasteful number, since it uses less digits than its factorization.

2100871080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 2100871080 is about 45835.2602261621. The cubic root of 2100871080 is about 1280.7562019240.

The spelling of 2100871080 in words is "two billion, one hundred million, eight hundred seventy-one thousand, eighty".