2581143264 has 288 divisors, whose sum is σ = 8644446720. Its totient is φ = 715392000.

The previous prime is 2581143259. The next prime is 2581143281. The reversal of 2581143264 is 4623411852.

It is a happy number.

2581143264 is a `hidden beast` number, since 2 + 581 + 14 + 3 + 2 + 64 = 666.

2581143264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 17093589 + ... + 17093739.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^2581143264 is an apocalyptic number.

2581143264 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 2581143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).

2581143264 is an abundant number, since it is smaller than the sum of its proper divisors (6063303456).

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

2581143264 is a wasteful number, since it uses less digits than its factorization.

2581143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2581143264 is about 50804.9531443539. The cubic root of 2581143264 is about 1371.7365274203.

The spelling of 2581143264 in words is "two billion, five hundred eighty-one million, one hundred forty-three thousand, two hundred sixty-four".