2689830 has 144 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 570240.

The previous prime is 2689807. The next prime is 2689861. The reversal of 2689830 is 389862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141561 + ... + 141579.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

2^2689830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2689830 is an abundant number, since it is smaller than the sum of its proper divisors (6024330).

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

2689830 is a wasteful number, since it uses less digits than its factorization.

2689830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2689830 is about 1640.0701204522. The cubic root of 2689830 is about 139.0726118557.

Subtracting from 2689830 its reverse (389862), we obtain a cube (2299968 = 132³).

The spelling of 2689830 in words is "two million, six hundred eighty-nine thousand, eight hundred thirty".