2694738816 has 384 divisors, whose sum is σ = 10242236160. Its totient is φ = 658391040.

The previous prime is 2694738803. The next prime is 2694738889. The reversal of 2694738816 is 6188374962.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1507075 + ... + 1508861.

It is an arithmetic number, because the mean of its divisors is an integer number (26672490).

Almost surely, 2^2694738816 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 2694738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121118080).

2694738816 is an abundant number, since it is smaller than the sum of its proper divisors (7547497344).

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

2694738816 is a wasteful number, since it uses less digits than its factorization.

2694738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1827 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2694738816 is about 51910.8737741911. The cubic root of 2694738816 is about 1391.5716081668.

The spelling of 2694738816 in words is "two billion, six hundred ninety-four million, seven hundred thirty-eight thousand, eight hundred sixteen".