2559752 has 32 divisors (see below), whose sum is σ = 5234880. Its totient is φ = 1166400.

The previous prime is 2559751. The next prime is 2559769. The reversal of 2559752 is 2579552.

It is not an unprimeable number, because it can be changed into a prime (2559751) 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, 15623 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (163590).

2^2559752 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 2559752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617440).

2559752 is an abundant number, since it is smaller than the sum of its proper divisors (2675128).

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

2559752 is a wasteful number, since it uses less digits than its factorization.

2559752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 31500, while the sum is 35.

The square root of 2559752 is about 1599.9224981230. The cubic root of 2559752 is about 136.7936581536.

Subtracting from 2559752 its product of digits (31500), we obtain a palindrome (2528252).

The spelling of 2559752 in words is "two million, five hundred fifty-nine thousand, seven hundred fifty-two".