2769336864 has 192 divisors, whose sum is σ = 9346740480. Its totient is φ = 791099136.

The previous prime is 2769336853. The next prime is 2769336901. The reversal of 2769336864 is 4686339672.

2769336864 is a `hidden beast` number, since 276 + 9 + 3 + 368 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2769336864.

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 31 ways as a sum of consecutive naturals, for example, 487062 + ... + 492714.

It is an arithmetic number, because the mean of its divisors is an integer number (48680940).

Almost surely, 2^2769336864 is an apocalyptic number.

2769336864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2769336864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673370240).

2769336864 is an abundant number, since it is smaller than the sum of its proper divisors (6577403616).

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

2769336864 is an frugal number, since it uses more digits than its factorization.

2769336864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5665 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2769336864 is about 52624.4892041719. The cubic root of 2769336864 is about 1404.2957956654.

The spelling of 2769336864 in words is "two billion, seven hundred sixty-nine million, three hundred thirty-six thousand, eight hundred sixty-four".