2121616 has 40 divisors (see below), whose sum is σ = 4950080. Its totient is φ = 860544.

The previous prime is 2121607. The next prime is 2121619. The reversal of 2121616 is 6161212.

2121616 = T₂₇₃ + T₂₇₄ + ... + T₃₂₀.

2121616 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 (19).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2121593 and 2121602.

It is not an unprimeable number, because it can be changed into a prime (2121619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1630 + ... + 2626.

It is an arithmetic number, because the mean of its divisors is an integer number (123752).

2^2121616 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 2121616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475040).

2121616 is an abundant number, since it is smaller than the sum of its proper divisors (2828464).

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

2121616 is a wasteful number, since it uses less digits than its factorization.

2121616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 2121616 is about 1456.5768088227. The cubic root of 2121616 is about 128.4957984364.

Adding to 2121616 its reverse (6161212), we get a palindrome (8282828).

It can be divided in two parts, 2121 and 616, that multiplied together give a triangular number (1306536 = T₁₆₁₆).

The spelling of 2121616 in words is "two million, one hundred twenty-one thousand, six hundred sixteen".