2672885328336 has 120 divisors (see below), whose sum is σ = 7580929900544. Its totient is φ = 879061559040.

The previous prime is 2672885328251. The next prime is 2672885328383. The reversal of 2672885328336 is 6338235882762.

2672885328336 is a `hidden beast` number, since 2 + 67 + 2 + 8 + 8 + 532 + 8 + 3 + 36 = 666.

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 23 ways as a sum of consecutive naturals, for example, 2906385 + ... + 3713871.

Almost surely, 2^{2672885328336} 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 2672885328336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790464950272).

2672885328336 is an abundant number, since it is smaller than the sum of its proper divisors (4908044572208).

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

2672885328336 is a wasteful number, since it uses less digits than its factorization.

2672885328336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807809 (or 807800 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 2672885328336 in words is "two trillion, six hundred seventy-two billion, eight hundred eighty-five million, three hundred twenty-eight thousand, three hundred thirty-six".