2722694688 has 192 divisors, whose sum is σ = 9103288320. Its totient is φ = 775547136.

The previous prime is 2722694657. The next prime is 2722694693. The reversal of 2722694688 is 8864962272.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3307845 + ... + 3308667.

It is an arithmetic number, because the mean of its divisors is an integer number (47412960).

Almost surely, 2^2722694688 is an apocalyptic number.

2722694688 is a gapful number since it is divisible by the number (28) 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 2722694688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551644160).

2722694688 is an abundant number, since it is smaller than the sum of its proper divisors (6380593632).

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

2722694688 is a wasteful number, since it uses less digits than its factorization.

2722694688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1382 counting only the distinct ones).

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

The square root of 2722694688 is about 52179.4469882539. The cubic root of 2722694688 is about 1396.3672293276.

The spelling of 2722694688 in words is "two billion, seven hundred twenty-two million, six hundred ninety-four thousand, six hundred eighty-eight".