2695681728 has 84 divisors (see below), whose sum is σ = 7931155080. Its totient is φ = 897841152.

The previous prime is 2695681727. The next prime is 2695681741. The reversal of 2695681728 is 8271865962.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2695681728 is a `hidden beast` number, since 2 + 6 + 9 + 568 + 1 + 72 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2695681727) 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 11 ways as a sum of consecutive naturals, for example, 2157648 + ... + 2158896.

Almost surely, 2^2695681728 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 2695681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965577540).

2695681728 is an abundant number, since it is smaller than the sum of its proper divisors (5235473352).

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

2695681728 is an frugal number, since it uses more digits than its factorization.

2695681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 1254 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 2695681728 is about 51919.9550076847. The cubic root of 2695681728 is about 1391.7338968147.

The spelling of 2695681728 in words is "two billion, six hundred ninety-five million, six hundred eighty-one thousand, seven hundred twenty-eight".