2642616 has 72 divisors (see below), whose sum is σ = 7662720. Its totient is φ = 822528.

The previous prime is 2642609. The next prime is 2642621. The reversal of 2642616 is 6162462.

It is a happy number.

2642616 is a `hidden beast` number, since 2 + 6 + 42 + 616 = 666.

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 2642616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20745 + ... + 20871.

2^2642616 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 2642616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831360).

2642616 is an abundant number, since it is smaller than the sum of its proper divisors (5020104).

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

2642616 is a wasteful number, since it uses less digits than its factorization.

2642616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2642616 is about 1625.6124999519. The cubic root of 2642616 is about 138.2541002046.

The spelling of 2642616 in words is "two million, six hundred forty-two thousand, six hundred sixteen".