2566728 has 80 divisors (see below), whose sum is σ = 7644780. Its totient is φ = 801792.

The previous prime is 2566709. The next prime is 2566747. The reversal of 2566728 is 8276652.

It is an interprime number because it is at equal distance from previous prime (2566709) and next prime (2566747).

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 324 = 1602^2 + 18^2 .

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

It is a d-powerful number, because it can be written as 2⁸ + 5⁶ + 6⁶ + 6⁸ + 7⁷ + 2¹⁰ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2566692 and 2566701.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10900 + ... + 11132.

2^2566728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822390).

2566728 is an abundant number, since it is smaller than the sum of its proper divisors (5078052).

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

2566728 is a wasteful number, since it uses less digits than its factorization.

2566728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2566728 is about 1602.1011204041. The cubic root of 2566728 is about 136.9178117159.

The spelling of 2566728 in words is "two million, five hundred sixty-six thousand, seven hundred twenty-eight".