2565282432 has 64 divisors (see below), whose sum is σ = 6824705760. Its totient is φ = 853754880.

The previous prime is 2565282431. The next prime is 2565282443. The reversal of 2565282432 is 2342825652.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2565282431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257382 + ... + 267162.

Almost surely, 2^2565282432 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 2565282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412352880).

2565282432 is an abundant number, since it is smaller than the sum of its proper divisors (4259423328).

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

2565282432 is an equidigital number, since it uses as much as digits as its factorization.

2565282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10469 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2565282432 is about 50648.6172762890. The cubic root of 2565282432 is about 1368.9210308664.

The spelling of 2565282432 in words is "two billion, five hundred sixty-five million, two hundred eighty-two thousand, four hundred thirty-two".