2689440 has 96 divisors (see below), whose sum is σ = 9144576. Its totient is φ = 660480.

The previous prime is 2689439. The next prime is 2689457. The reversal of 2689440 is 449862.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6025 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

2^2689440 is an apocalyptic number.

2689440 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 2689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288).

2689440 is an abundant number, since it is smaller than the sum of its proper divisors (6455136).

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

2689440 is a wasteful number, since it uses less digits than its factorization.

2689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2689440 is about 1639.9512187867. The cubic root of 2689440 is about 139.0658901248.

The spelling of 2689440 in words is "two million, six hundred eighty-nine thousand, four hundred forty".