2653616 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 1016064.

The previous prime is 2653613. The next prime is 2653619. The reversal of 2653616 is 6163562.

2653616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2653613) and next prime (2653619).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (2653613) by changing a digit.

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, 61691 + ... + 61733.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2653616 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 2653616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2653616 is an abundant number, since it is smaller than the sum of its proper divisors (3893584).

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

2653616 is a wasteful number, since it uses less digits than its factorization.

2653616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 2653616 is about 1628.9923265627. The cubic root of 2653616 is about 138.4456641504.

The spelling of 2653616 in words is "two million, six hundred fifty-three thousand, six hundred sixteen".