2560032 has 48 divisors (see below), whose sum is σ = 7469280. Its totient is φ = 853056.

The previous prime is 2560031. The next prime is 2560039. The reversal of 2560032 is 2300652.

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

It is a super-3 number, since 3×2560032³ = 50333535460393058304, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2559987 and 2560014.

It is not an unprimeable number, because it can be changed into a prime (2560031) 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, 618 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

2^2560032 is an apocalyptic number.

It is an amenable number.

2560032 is an abundant number, since it is smaller than the sum of its proper divisors (4909248).

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

2560032 is a wasteful number, since it uses less digits than its factorization.

2560032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2560032 is about 1600.0099999688. The cubic root of 2560032 is about 136.7986457237.

Adding to 2560032 its reverse (2300652), we get a palindrome (4860684).

The spelling of 2560032 in words is "two million, five hundred sixty thousand, thirty-two".