2581089264 has 240 divisors, whose sum is σ = 8146145280. Its totient is φ = 757486080.

The previous prime is 2581089229. The next prime is 2581089289. The reversal of 2581089264 is 4629801852.

2581089264 is a `hidden beast` number, since 2 + 581 + 0 + 8 + 9 + 2 + 64 = 666.

2581089264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4584247 + ... + 4584809.

It is an arithmetic number, because the mean of its divisors is an integer number (33942272).

Almost surely, 2^2581089264 is an apocalyptic number.

2581089264 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 2581089264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073072640).

2581089264 is an abundant number, since it is smaller than the sum of its proper divisors (5565056016).

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

2581089264 is a wasteful number, since it uses less digits than its factorization.

2581089264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2581089264 is about 50804.4216973287. The cubic root of 2581089264 is about 1371.7269613377.

The spelling of 2581089264 in words is "two billion, five hundred eighty-one million, eighty-nine thousand, two hundred sixty-four".