2561832 has 192 divisors, whose sum is σ = 9434880. Its totient is φ = 608256.

The previous prime is 2561821. The next prime is 2561833. The reversal of 2561832 is 2381652.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (2880) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 2561796 and 2561805.

It is not an unprimeable number, because it can be changed into a prime (2561833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111373 + ... + 111395.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2^2561832 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 2561832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2561832 is an abundant number, since it is smaller than the sum of its proper divisors (6873048).

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

2561832 is a wasteful number, since it uses less digits than its factorization.

2561832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2561832 is about 1600.5723976128. The cubic root of 2561832 is about 136.8306999941.

The spelling of 2561832 in words is "two million, five hundred sixty-one thousand, eight hundred thirty-two".