2130816 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 683520.

The previous prime is 2130809. The next prime is 2130853. The reversal of 2130816 is 6180312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2130792 and 2130801.

It is a congruent number.

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, 11815 + ... + 11993.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

2^2130816 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 2130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2130816 is an abundant number, since it is smaller than the sum of its proper divisors (3744384).

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

2130816 is a wasteful number, since it uses less digits than its factorization.

2130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2130816 is about 1459.7314821569. The cubic root of 2130816 is about 128.6812634637.

The spelling of 2130816 in words is "two million, one hundred thirty thousand, eight hundred sixteen".