2100768 has 48 divisors (see below), whose sum is σ = 5604480. Its totient is φ = 688896.

The previous prime is 2100743. The next prime is 2100781. The reversal of 2100768 is 8670012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7446 + ... + 7722.

It is an arithmetic number, because the mean of its divisors is an integer number (116760).

2^2100768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802240).

2100768 is an abundant number, since it is smaller than the sum of its proper divisors (3503712).

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

2100768 is a wasteful number, since it uses less digits than its factorization.

2100768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2100768 is about 1449.4026355709. The cubic root of 2100768 is about 128.0735254659.

The spelling of 2100768 in words is "two million, one hundred thousand, seven hundred sixty-eight".