2100864 has 32 divisors (see below), whose sum is σ = 5581440. Its totient is φ = 700160.

The previous prime is 2100859. The next prime is 2100869. The reversal of 2100864 is 4680012.

It is an interprime number because it is at equal distance from previous prime (2100859) and next prime (2100869).

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2100864.

It is not an unprimeable number, because it can be changed into a prime (2100869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2352 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

2^2100864 is an apocalyptic number.

2100864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100864 is an abundant number, since it is smaller than the sum of its proper divisors (3480576).

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

2100864 is an equidigital number, since it uses as much as digits as its factorization.

2100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2100864 is about 1449.4357522843. The cubic root of 2100864 is about 128.0754763193.

Adding to 2100864 its reverse (4680012), we get a palindrome (6780876).

The spelling of 2100864 in words is "two million, one hundred thousand, eight hundred sixty-four".