2566272 has 64 divisors (see below), whose sum is σ = 7025760. Its totient is φ = 829440.

The previous prime is 2566261. The next prime is 2566279. The reversal of 2566272 is 2726652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 2⁶ + 5² + 6⁷ + 6⁸ + 2¹⁶ + 7⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (2566279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15663 + ... + 15825.

2^2566272 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 2566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512880).

2566272 is an abundant number, since it is smaller than the sum of its proper divisors (4459488).

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

2566272 is a wasteful number, since it uses less digits than its factorization.

2566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2566272 is about 1601.9588009684. The cubic root of 2566272 is about 136.9097030499.

The spelling of 2566272 in words is "two million, five hundred sixty-six thousand, two hundred seventy-two".