2695840 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 881664.

The previous prime is 2695837. The next prime is 2695867. The reversal of 2695840 is 485962.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2695796 and 2695805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32439 + ... + 32521.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2695840 is an apocalyptic number.

2695840 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 2695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2695840 is an abundant number, since it is smaller than the sum of its proper divisors (4924640).

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

2695840 is a wasteful number, since it uses less digits than its factorization.

2695840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2695840 is about 1641.9013368653. The cubic root of 2695840 is about 139.1761133981.

The spelling of 2695840 in words is "two million, six hundred ninety-five thousand, eight hundred forty".