2581605344 has 48 divisors (see below), whose sum is σ = 5228919360. Its totient is φ = 1253898240.

The previous prime is 2581605343. The next prime is 2581605347. The reversal of 2581605344 is 4435061852.

It is a junction number, because it is equal to n+sod(n) for n = 2581605298 and 2581605307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581605343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309452 + ... + 317684.

It is an arithmetic number, because the mean of its divisors is an integer number (108935820).

Almost surely, 2^2581605344 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 2581605344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614459680).

2581605344 is an abundant number, since it is smaller than the sum of its proper divisors (2647314016).

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

2581605344 is a wasteful number, since it uses less digits than its factorization.

2581605344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 2581605344 is about 50809.5005289365. The cubic root of 2581605344 is about 1371.8183792884.

The spelling of 2581605344 in words is "two billion, five hundred eighty-one million, six hundred five thousand, three hundred forty-four".