2563288 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 1012032.

The previous prime is 2563261. The next prime is 2563291. The reversal of 2563288 is 8823652.

2563288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁴ + 5⁸ + 6 + 3¹⁰ + 2²¹ + 8 + 8² .

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 11 ways as a sum of consecutive naturals, for example, 4845 + ... + 5347.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

2^2563288 is an apocalyptic number.

2563288 is a gapful number since it is divisible by the number (28) 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 2563288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2563288 is an abundant number, since it is smaller than the sum of its proper divisors (3469592).

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

2563288 is a wasteful number, since it uses less digits than its factorization.

2563288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2563288 is about 1601.0271702879. The cubic root of 2563288 is about 136.8566173543.

It can be divided in two parts, 256328 and 8, that multiplied together give a square (2050624 = 1432²).

The spelling of 2563288 in words is "two million, five hundred sixty-three thousand, two hundred eighty-eight".