2705840 has 40 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 1070336.

The previous prime is 2705831. The next prime is 2705849. The reversal of 2705840 is 485072.

It is an interprime number because it is at equal distance from previous prime (2705831) and next prime (2705849).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2705849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11807 + ... + 12033.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

2^2705840 is an apocalyptic number.

2705840 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 2705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2705840 is an abundant number, since it is smaller than the sum of its proper divisors (3655360).

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

2705840 is a wasteful number, since it uses less digits than its factorization.

2705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2705840 is about 1644.9437680359. The cubic root of 2705840 is about 139.3479885584.

The spelling of 2705840 in words is "two million, seven hundred five thousand, eight hundred forty".