2694828672 has 384 divisors, whose sum is σ = 8764329600. Its totient is φ = 790732800.

The previous prime is 2694828629. The next prime is 2694828677. The reversal of 2694828672 is 2768284962.

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

Its product of digits (4644864) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (2694828677) 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 47 ways as a sum of consecutive naturals, for example, 26681422 + ... + 26681522.

It is an arithmetic number, because the mean of its divisors is an integer number (22823775).

Almost surely, 2^2694828672 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 2694828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382164800).

2694828672 is an abundant number, since it is smaller than the sum of its proper divisors (6069500928).

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

2694828672 is a wasteful number, since it uses less digits than its factorization.

2694828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2694828672 is about 51911.7392503854. The cubic root of 2694828672 is about 1391.5870753020.

The spelling of 2694828672 in words is "two billion, six hundred ninety-four million, eight hundred twenty-eight thousand, six hundred seventy-two".