2581641216 has 576 divisors, whose sum is σ = 9934928640. Its totient is φ = 625213440.

The previous prime is 2581641203. The next prime is 2581641221. The reversal of 2581641216 is 6121461852.

It is a happy number.

2581641216 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 641 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127435 + ... + 24127541.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 2^2581641216 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 2581641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967464320).

2581641216 is an abundant number, since it is smaller than the sum of its proper divisors (7353287424).

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

2581641216 is a wasteful number, since it uses less digits than its factorization.

2581641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2581641216 is about 50809.8535325580. The cubic root of 2581641216 is about 1371.8247331696.

The spelling of 2581641216 in words is "two billion, five hundred eighty-one million, six hundred forty-one thousand, two hundred sixteen".