2559680 has 56 divisors (see below), whose sum is σ = 6431280. Its totient is φ = 967680.

The previous prime is 2559677. The next prime is 2559691. The reversal of 2559680 is 869552.

2559680 = 73² + 74² + ... + 200².

It is a self number, because there is not a number n which added to its sum of digits gives 2559680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5870 + ... + 6290.

2^2559680 is an apocalyptic number.

2559680 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 2559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215640).

2559680 is an abundant number, since it is smaller than the sum of its proper divisors (3871600).

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

2559680 is a wasteful number, since it uses less digits than its factorization.

2559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2559680 is about 1599.8999968748. The cubic root of 2559680 is about 136.7923755768.

The spelling of 2559680 in words is "two million, five hundred fifty-nine thousand, six hundred eighty".