2809456 has 30 divisors (see below), whose sum is σ = 5899920. Its totient is φ = 1295424.

The previous prime is 2809453. The next prime is 2809483. The reversal of 2809456 is 6549082.

2809456 = T₄₉ + T₅₀ + ... + T₂₅₆.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2809451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2185 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (196664).

2^2809456 is an apocalyptic number.

2809456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2809456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949960).

2809456 is an abundant number, since it is smaller than the sum of its proper divisors (3090464).

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

2809456 is a wasteful number, since it uses less digits than its factorization.

2809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2809456 is about 1676.1431919738. The cubic root of 2809456 is about 141.1044612615.

The spelling of 2809456 in words is "two million, eight hundred nine thousand, four hundred fifty-six".