2569680 has 120 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 661248.

The previous prime is 2569667. The next prime is 2569681. The reversal of 2569680 is 869652.

2569680 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2569681) 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 23 ways as a sum of consecutive naturals, for example, 30919 + ... + 31001.

2^2569680 is an apocalyptic number.

2569680 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 2569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

2569680 is an abundant number, since it is smaller than the sum of its proper divisors (6367248).

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

2569680 is a wasteful number, since it uses less digits than its factorization.

2569680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2569680 is about 1603.0221458233. The cubic root of 2569680 is about 136.9702814399.

It can be divided in two parts, 2569 and 680, that added together give a square (3249 = 57²).

The spelling of 2569680 in words is "two million, five hundred sixty-nine thousand, six hundred eighty".