2656416 has 96 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 734976.

The previous prime is 2656399. The next prime is 2656417. The reversal of 2656416 is 6146562.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2656417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39615 + ... + 39681.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

2^2656416 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 2656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2656416 is an abundant number, since it is smaller than the sum of its proper divisors (5568864).

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

2656416 is a wasteful number, since it uses less digits than its factorization.

2656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2656416 is about 1629.8515269803. The cubic root of 2656416 is about 138.4943413259.

The spelling of 2656416 in words is "two million, six hundred fifty-six thousand, four hundred sixteen".