2733168672 has 144 divisors (see below), whose sum is σ = 8393112000. Its totient is φ = 838688256.

The previous prime is 2733168671. The next prime is 2733168689. The reversal of 2733168672 is 2768613372.

2733168672 is a `hidden beast` number, since 273 + 316 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2733168671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822579 + ... + 1824077.

It is an arithmetic number, because the mean of its divisors is an integer number (58285500).

Almost surely, 2^2733168672 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 2733168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196556000).

2733168672 is an abundant number, since it is smaller than the sum of its proper divisors (5659943328).

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

2733168672 is a wasteful number, since it uses less digits than its factorization.

2733168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2004 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2733168672 is about 52279.7156840012. The cubic root of 2733168672 is about 1398.1555083755.

It can be divided in two parts, 2733 and 168672, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 2733168672 in words is "two billion, seven hundred thirty-three million, one hundred sixty-eight thousand, six hundred seventy-two".