2825582832 has 80 divisors (see below), whose sum is σ = 8160430080. Its totient is φ = 936059328.

The previous prime is 2825582831. The next prime is 2825582833. The reversal of 2825582832 is 2382855282.

2825582832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2825582831) and next prime (2825582833).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825582831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50353 + ... + 90479.

It is an arithmetic number, because the mean of its divisors is an integer number (102005376).

Almost surely, 2^2825582832 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 2825582832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080215040).

2825582832 is an abundant number, since it is smaller than the sum of its proper divisors (5334847248).

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

2825582832 is a wasteful number, since it uses less digits than its factorization.

2825582832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40307 (or 40295 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 2825582832 is about 53156.2116031607. The cubic root of 2825582832 is about 1413.7393545906.

It can be divided in two parts, 282558 and 2832, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 2825582832 in words is "two billion, eight hundred twenty-five million, five hundred eighty-two thousand, eight hundred thirty-two".