2581604592 has 160 divisors (see below), whose sum is σ = 8047104000. Its totient is φ = 712035072.

The previous prime is 2581604587. The next prime is 2581604611. The reversal of 2581604592 is 2954061852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474753 + ... + 480159.

It is an arithmetic number, because the mean of its divisors is an integer number (50294400).

Almost surely, 2^2581604592 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 2581604592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023552000).

2581604592 is an abundant number, since it is smaller than the sum of its proper divisors (5465499408).

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

2581604592 is a wasteful number, since it uses less digits than its factorization.

2581604592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2581604592 is about 50809.4931287451. The cubic root of 2581604592 is about 1371.8182460887.

The spelling of 2581604592 in words is "two billion, five hundred eighty-one million, six hundred four thousand, five hundred ninety-two".