2581332920 has 64 divisors (see below), whose sum is σ = 6048475200. Its totient is φ = 990259200.

The previous prime is 2581332917. The next prime is 2581332947. The reversal of 2581332920 is 292331852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167792 + ... + 182528.

It is an arithmetic number, because the mean of its divisors is an integer number (94507425).

Almost surely, 2^2581332920 is an apocalyptic number.

2581332920 is a gapful number since it is divisible by the number (20) 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 2581332920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024237600).

2581332920 is an abundant number, since it is smaller than the sum of its proper divisors (3467142280).

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

2581332920 is a wasteful number, since it uses less digits than its factorization.

2581332920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14928 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2581332920 is about 50806.8196209918. The cubic root of 2581332920 is about 1371.7701238625.

The spelling of 2581332920 in words is "two billion, five hundred eighty-one million, three hundred thirty-two thousand, nine hundred twenty".