2736298368 has 128 divisors (see below), whose sum is σ = 8105328000. Its totient is φ = 908775936.

The previous prime is 2736298351. The next prime is 2736298381. The reversal of 2736298368 is 8638926372.

It is a happy number.

2736298368 is a `hidden beast` number, since 2 + 7 + 3 + 629 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 1059703 + ... + 1062281.

It is an arithmetic number, because the mean of its divisors is an integer number (63322875).

Almost surely, 2^2736298368 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 2736298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052664000).

2736298368 is an abundant number, since it is smaller than the sum of its proper divisors (5369029632).

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

2736298368 is a wasteful number, since it uses less digits than its factorization.

2736298368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2891 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2736298368 is about 52309.6393411386. The cubic root of 2736298368 is about 1398.6889713111.

The spelling of 2736298368 in words is "two billion, seven hundred thirty-six million, two hundred ninety-eight thousand, three hundred sixty-eight".