2733668352 has 168 divisors, whose sum is σ = 8199729720. Its totient is φ = 910725120.

The previous prime is 2733668351. The next prime is 2733668393. The reversal of 2733668352 is 2538663372.

It is a junction number, because it is equal to n+sod(n) for n = 2733668298 and 2733668307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733668351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492077 + ... + 1493907.

It is an arithmetic number, because the mean of its divisors is an integer number (48807915).

Almost surely, 2^2733668352 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 2733668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099864860).

2733668352 is an abundant number, since it is smaller than the sum of its proper divisors (5466061368).

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

2733668352 is an frugal number, since it uses more digits than its factorization.

2733668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1836 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2733668352 is about 52284.4943745275. The cubic root of 2733668352 is about 1398.2407071390.

The spelling of 2733668352 in words is "two billion, seven hundred thirty-three million, six hundred sixty-eight thousand, three hundred fifty-two".