2673165768 has 64 divisors (see below), whose sum is σ = 8225132160. Its totient is φ = 705010176.

The previous prime is 2673165767. The next prime is 2673165787. The reversal of 2673165768 is 8675613762.

2673165768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2673165768.

It is not an unprimeable number, because it can be changed into a prime (2673165767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609805 + ... + 614172.

It is an arithmetic number, because the mean of its divisors is an integer number (128517690).

Almost surely, 2^2673165768 is an apocalyptic number.

2673165768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2673165768 is an abundant number, since it is smaller than the sum of its proper divisors (5551966392).

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

2673165768 is a wasteful number, since it uses less digits than its factorization.

2673165768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224006 (or 1224002 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 2673165768 is about 51702.6669331477. Note that the first 3 decimals coincide. The cubic root of 2673165768 is about 1387.8481910336.

The spelling of 2673165768 in words is "two billion, six hundred seventy-three million, one hundred sixty-five thousand, seven hundred sixty-eight".