2640456 has 144 divisors (see below), whose sum is σ = 9135360. Its totient is φ = 673920.

The previous prime is 2640409. The next prime is 2640497. The reversal of 2640456 is 6540462.

It is a happy number.

2640456 is nontrivially palindromic in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85161 + ... + 85191.

It is an arithmetic number, because the mean of its divisors is an integer number (63440).

2^2640456 is an apocalyptic number.

2640456 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 2640456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567680).

2640456 is an abundant number, since it is smaller than the sum of its proper divisors (6494904).

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

2640456 is a wasteful number, since it uses less digits than its factorization.

2640456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2640456 is about 1624.9479991680. The cubic root of 2640456 is about 138.2164215992.

The spelling of 2640456 in words is "two million, six hundred forty thousand, four hundred fifty-six".