2806572672 has 256 divisors, whose sum is σ = 8790768000. Its totient is φ = 879943680.

The previous prime is 2806572647. The next prime is 2806572697. The reversal of 2806572672 is 2762756082.

2806572672 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 572 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2806572647) and next prime (2806572697).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4108843 + ... + 4109525.

Almost surely, 2^2806572672 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 2806572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395384000).

2806572672 is an abundant number, since it is smaller than the sum of its proper divisors (5984195328).

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

2806572672 is a wasteful number, since it uses less digits than its factorization.

2806572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2806572672 is about 52977.0957301361. The cubic root of 2806572672 is about 1410.5617318172.

The spelling of 2806572672 in words is "two billion, eight hundred six million, five hundred seventy-two thousand, six hundred seventy-two".