2695891968 has 528 divisors, whose sum is σ = 10116437760. Its totient is φ = 670924800.

The previous prime is 2695891883. The next prime is 2695891973. The reversal of 2695891968 is 8691985962.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20579263 + ... + 20579393.

It is an arithmetic number, because the mean of its divisors is an integer number (19159920).

Almost surely, 2^2695891968 is an apocalyptic number.

2695891968 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 2695891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058218880).

2695891968 is an abundant number, since it is smaller than the sum of its proper divisors (7420545792).

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

2695891968 is a wasteful number, since it uses less digits than its factorization.

2695891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The square root of 2695891968 is about 51921.9796232771. The cubic root of 2695891968 is about 1391.7700769672.

The spelling of 2695891968 in words is "two billion, six hundred ninety-five million, eight hundred ninety-one thousand, nine hundred sixty-eight".