2559264 has 48 divisors (see below), whose sum is σ = 6858432. Its totient is φ = 835328.

The previous prime is 2559251. The next prime is 2559269. The reversal of 2559264 is 4629552.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2559269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4837 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

2^2559264 is an apocalyptic number.

2559264 is a gapful number since it is divisible by the number (24) 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 2559264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429216).

2559264 is an abundant number, since it is smaller than the sum of its proper divisors (4299168).

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

2559264 is a wasteful number, since it uses less digits than its factorization.

2559264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2559264 is about 1599.7699834664. The cubic root of 2559264 is about 136.7849646620.

It can be divided in two parts, 2559 and 264, that multiplied together give a palindrome (675576).

The spelling of 2559264 in words is "two million, five hundred fifty-nine thousand, two hundred sixty-four".