2121580 has 48 divisors (see below), whose sum is σ = 4749696. Its totient is φ = 794880.

The previous prime is 2121569. The next prime is 2121601. The reversal of 2121580 is 851212.

2121580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121580² = 9002203392800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34750 + ... + 34810.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

2^2121580 is an apocalyptic number.

2121580 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 2121580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374848).

2121580 is an abundant number, since it is smaller than the sum of its proper divisors (2628116).

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

2121580 is a wasteful number, since it uses less digits than its factorization.

2121580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2121580 is about 1456.5644510285. The cubic root of 2121580 is about 128.4950716516.

Adding to 2121580 its reverse (851212), we get a palindrome (2972792).

It can be divided in two parts, 2121 and 580, that added together give a triangular number (2701 = T₇₃).

The spelling of 2121580 in words is "two million, one hundred twenty-one thousand, five hundred eighty".