2456640 has 84 divisors (see below), whose sum is σ = 8459724. Its totient is φ = 654336.

The previous prime is 2456639. The next prime is 2456647. The reversal of 2456640 is 466542.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 2005056 = 672^2 + 1416^2 .

It is not an unprimeable number, because it can be changed into a prime (2456647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2454 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (100711).

2^2456640 is an apocalyptic number.

2456640 is a gapful number since it is divisible by the number (20) 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 2456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229862).

2456640 is an abundant number, since it is smaller than the sum of its proper divisors (6003084).

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

2456640 is a wasteful number, since it uses less digits than its factorization.

2456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

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

The square root of 2456640 is about 1567.3672192565. The cubic root of 2456640 is about 134.9316526460.

The spelling of 2456640 in words is "two million, four hundred fifty-six thousand, six hundred forty".