2456740 has 48 divisors (see below), whose sum is σ = 6068160. Its totient is φ = 823680.

The previous prime is 2456731. The next prime is 2456743. The reversal of 2456740 is 476542.

2456740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2456699 and 2456708.

It is not an unprimeable number, because it can be changed into a prime (2456743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (126420).

2^2456740 is an apocalyptic number.

2456740 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 2456740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034080).

2456740 is an abundant number, since it is smaller than the sum of its proper divisors (3611420).

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

2456740 is a wasteful number, since it uses less digits than its factorization.

2456740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2456740 is about 1567.3991195608. The cubic root of 2456740 is about 134.9334834640.

The spelling of 2456740 in words is "two million, four hundred fifty-six thousand, seven hundred forty".