2733957216 has 144 divisors (see below), whose sum is σ = 7888149360. Its totient is φ = 898145280.

The previous prime is 2733957211. The next prime is 2733957251. The reversal of 2733957216 is 6127593372.

2733957216 is a `hidden beast` number, since 2 + 73 + 3 + 9 + 572 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733957211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9330766 + ... + 9331058.

It is an arithmetic number, because the mean of its divisors is an integer number (54778815).

Almost surely, 2^2733957216 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 2733957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944074680).

2733957216 is an abundant number, since it is smaller than the sum of its proper divisors (5154192144).

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

2733957216 is a wasteful number, since it uses less digits than its factorization.

2733957216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 2733957216 is about 52287.2567266633. The cubic root of 2733957216 is about 1398.2899556366.

The spelling of 2733957216 in words is "two billion, seven hundred thirty-three million, nine hundred fifty-seven thousand, two hundred sixteen".