2566520 has 64 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 881280.

The previous prime is 2566519. The next prime is 2566549. The reversal of 2566520 is 256652.

It is a happy number.

2566520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2566520.

It is a congruent number.

It is an unprimeable number.

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, 8207 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

2^2566520 is an apocalyptic number.

2566520 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 2566520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2566520 is an abundant number, since it is smaller than the sum of its proper divisors (4086280).

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

2566520 is a wasteful number, since it uses less digits than its factorization.

2566520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2566520 is about 1602.0362043350. The cubic root of 2566520 is about 136.9141131453.

It can be divided in two parts, 256 and 6520, that added together give a palindrome (6776).

The spelling of 2566520 in words is "two million, five hundred sixty-six thousand, five hundred twenty".