2102568 has 64 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 616704.

The previous prime is 2102567. The next prime is 2102579. The reversal of 2102568 is 8652012.

2102568 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2102561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7030 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

2^2102568 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 2102568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2102568 is an abundant number, since it is smaller than the sum of its proper divisors (3824472).

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

2102568 is a wasteful number, since it uses less digits than its factorization.

2102568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2102568 is about 1450.0234480863. The cubic root of 2102568 is about 128.1100940819.

The spelling of 2102568 in words is "two million, one hundred two thousand, five hundred sixty-eight".