2581824 has 112 divisors (see below), whose sum is σ = 8339328. Its totient is φ = 688128.

The previous prime is 2581771. The next prime is 2581829. The reversal of 2581824 is 4281852.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2581791 and 2581800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581829) 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, 22792 + ... + 22904.

2^2581824 is an apocalyptic number.

2581824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169664).

2581824 is an abundant number, since it is smaller than the sum of its proper divisors (5757504).

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

2581824 is a wasteful number, since it uses less digits than its factorization.

2581824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2581824 is about 1606.8055265028. The cubic root of 2581824 is about 137.1857108143.

The spelling of 2581824 in words is "two million, five hundred eighty-one thousand, eight hundred twenty-four".