2569840 has 80 divisors (see below), whose sum is σ = 7374528. Its totient is φ = 811008.

The previous prime is 2569823. The next prime is 2569841. The reversal of 2569840 is 489652.

It is a happy number.

2569840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2569796 and 2569805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7104 + ... + 7456.

2^2569840 is an apocalyptic number.

2569840 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 2569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687264).

2569840 is an abundant number, since it is smaller than the sum of its proper divisors (4804688).

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

2569840 is a wasteful number, since it uses less digits than its factorization.

2569840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

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

The square root of 2569840 is about 1603.0720507825. The cubic root of 2569840 is about 136.9731241791.

The spelling of 2569840 in words is "two million, five hundred sixty-nine thousand, eight hundred forty".