2736906816 has 112 divisors (see below), whose sum is σ = 8318699136. Its totient is φ = 777928704.

The previous prime is 2736906811. The next prime is 2736906829. The reversal of 2736906816 is 6186096372.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2736906811) 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 15 ways as a sum of consecutive naturals, for example, 259600 + ... + 269936.

Almost surely, 2^2736906816 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 2736906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159349568).

2736906816 is an abundant number, since it is smaller than the sum of its proper divisors (5581792320).

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

2736906816 is a wasteful number, since it uses less digits than its factorization.

2736906816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2736906816 is about 52315.4548484480. The cubic root of 2736906816 is about 1398.7926352543.

The spelling of 2736906816 in words is "two billion, seven hundred thirty-six million, nine hundred six thousand, eight hundred sixteen".