2733373664 has 144 divisors (see below), whose sum is σ = 6589973376. Its totient is φ = 1111219200.

The previous prime is 2733373661. The next prime is 2733373673. The reversal of 2733373664 is 4663733372.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733373661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2575694 + ... + 2576754.

It is an arithmetic number, because the mean of its divisors is an integer number (45763704).

Almost surely, 2^2733373664 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 2733373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294986688).

2733373664 is an abundant number, since it is smaller than the sum of its proper divisors (3856599712).

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

2733373664 is a wasteful number, since it uses less digits than its factorization.

2733373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1154 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 44.

The square root of 2733373664 is about 52281.6761781793. The cubic root of 2733373664 is about 1398.1904621310.

The spelling of 2733373664 in words is "two billion, seven hundred thirty-three million, three hundred seventy-three thousand, six hundred sixty-four".