2872586106 has 96 divisors (see below), whose sum is σ = 6978299328. Its totient is φ = 880398720.

The previous prime is 2872586083. The next prime is 2872586113. The reversal of 2872586106 is 6016852782.

2872586106 is a `hidden beast` number, since 2 + 8 + 7 + 25 + 8 + 610 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1938886 + ... + 1940366.

It is an arithmetic number, because the mean of its divisors is an integer number (72690618).

Almost surely, 2^2872586106 is an apocalyptic number.

2872586106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872586106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489149664).

2872586106 is an abundant number, since it is smaller than the sum of its proper divisors (4105713222).

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

2872586106 is a wasteful number, since it uses less digits than its factorization.

2872586106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2872586106 is about 53596.5120693502. The cubic root of 2872586106 is about 1421.5354194563.

The spelling of 2872586106 in words is "two billion, eight hundred seventy-two million, five hundred eighty-six thousand, one hundred six".