2465680 has 120 divisors (see below), whose sum is σ = 7251768. Its totient is φ = 774144.

The previous prime is 2465657. The next prime is 2465707. The reversal of 2465680 is 865642.

2465680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 1449616 = 1008^2 + 1204^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66622 + ... + 66658.

2^2465680 is an apocalyptic number.

2465680 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 2465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625884).

2465680 is an abundant number, since it is smaller than the sum of its proper divisors (4786088).

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

2465680 is a wasteful number, since it uses less digits than its factorization.

2465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2465680 is about 1570.2483879947. The cubic root of 2465680 is about 135.0969582391.

The spelling of 2465680 in words is "two million, four hundred sixty-five thousand, six hundred eighty".