2586738672 has 320 divisors, whose sum is σ = 8881177600. Its totient is φ = 705438720.

The previous prime is 2586738653. The next prime is 2586738727. The reversal of 2586738672 is 2768376852.

2586738672 is a `hidden beast` number, since 258 + 6 + 7 + 386 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6824979 + ... + 6825357.

It is an arithmetic number, because the mean of its divisors is an integer number (27753680).

Almost surely, 2^2586738672 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 2586738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440588800).

2586738672 is an abundant number, since it is smaller than the sum of its proper divisors (6294438928).

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

2586738672 is a wasteful number, since it uses less digits than its factorization.

2586738672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 2586738672 is about 50859.9908769162. The cubic root of 2586738672 is about 1372.7270298394.

The spelling of 2586738672 in words is "two billion, five hundred eighty-six million, seven hundred thirty-eight thousand, six hundred seventy-two".