2616896 has 28 divisors (see below), whose sum is σ = 5364480. Its totient is φ = 1265280.

The previous prime is 2616883. The next prime is 2616923. The reversal of 2616896 is 6986162.

2616896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 1325 + ... + 2643.

2^2616896 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 2616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682240).

2616896 is an abundant number, since it is smaller than the sum of its proper divisors (2747584).

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

2616896 is a wasteful number, since it uses less digits than its factorization.

2616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 2616896 is about 1617.6822926644. The cubic root of 2616896 is about 137.8041048854.

The spelling of 2616896 in words is "two million, six hundred sixteen thousand, eight hundred ninety-six".