2563506 has 48 divisors (see below), whose sum is σ = 6166368. Its totient is φ = 769560.

The previous prime is 2563493. The next prime is 2563507. The reversal of 2563506 is 6053652.

2563506 is a `hidden beast` number, since 25 + 635 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2563506.

It is not an unprimeable number, because it can be changed into a prime (2563507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23905 + ... + 24011.

It is an arithmetic number, because the mean of its divisors is an integer number (128466).

2^2563506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083184).

2563506 is an abundant number, since it is smaller than the sum of its proper divisors (3602862).

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

2563506 is a wasteful number, since it uses less digits than its factorization.

2563506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2563506 is about 1601.0952501335. The cubic root of 2563506 is about 136.8604969934.

The spelling of 2563506 in words is "two million, five hundred sixty-three thousand, five hundred six".