2581602048 has 216 divisors, whose sum is σ = 8298435600. Its totient is φ = 767066112.

The previous prime is 2581602047. The next prime is 2581602061. The reversal of 2581602048 is 8402061852.

2581602048 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 602 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581602043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742458 + ... + 745926.

Almost surely, 2^2581602048 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 2581602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149217800).

2581602048 is an abundant number, since it is smaller than the sum of its proper divisors (5716833552).

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

2581602048 is a wasteful number, since it uses less digits than its factorization.

2581602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2581602048 is about 50809.4680940472. The cubic root of 2581602048 is about 1371.8177954766.

The spelling of 2581602048 in words is "two billion, five hundred eighty-one million, six hundred two thousand, forty-eight".