2560416 has 48 divisors (see below), whose sum is σ = 6804000. Its totient is φ = 843008.

The previous prime is 2560399. The next prime is 2560417. The reversal of 2560416 is 6140652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2560417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14215 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

2^2560416 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 2560416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402000).

2560416 is an abundant number, since it is smaller than the sum of its proper divisors (4243584).

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

2560416 is a wasteful number, since it uses less digits than its factorization.

2560416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2560416 is about 1600.1299947192. The cubic root of 2560416 is about 136.8054852286.

The spelling of 2560416 in words is "two million, five hundred sixty thousand, four hundred sixteen".