2607840 has 72 divisors (see below), whose sum is σ = 8904168. Its totient is φ = 695040.

The previous prime is 2607827. The next prime is 2607853. The reversal of 2607840 is 487062.

2607840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2607827) and next prime (2607853).

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 535 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (123669).

2^2607840 is an apocalyptic number.

2607840 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 2607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452084).

2607840 is an abundant number, since it is smaller than the sum of its proper divisors (6296328).

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

2607840 is a wasteful number, since it uses less digits than its factorization.

2607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2607840 is about 1614.8808005546. The cubic root of 2607840 is about 137.6449600691.

It can be divided in two parts, 260 and 7840, that added together give a square (8100 = 90²).

The spelling of 2607840 in words is "two million, six hundred seven thousand, eight hundred forty".