2291616 has 72 divisors (see below), whose sum is σ = 6666660. Its totient is φ = 746496.

The previous prime is 2291591. The next prime is 2291623. The reversal of 2291616 is 6161922.

2291616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 41616 = 1500^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2291616.

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 11 ways as a sum of consecutive naturals, for example, 20970 + ... + 21078.

2^2291616 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 2291616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333330).

2291616 is an abundant number, since it is smaller than the sum of its proper divisors (4375044).

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

2291616 is a wasteful number, since it uses less digits than its factorization.

2291616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2291616 is about 1513.8084423070. The cubic root of 2291616 is about 131.8400265891.

The spelling of 2291616 in words is "two million, two hundred ninety-one thousand, six hundred sixteen".