2696141952 has 192 divisors, whose sum is σ = 9333979200. Its totient is φ = 729741312.

The previous prime is 2696141909. The next prime is 2696141957. The reversal of 2696141952 is 2591416962.

2696141952 is a `hidden beast` number, since 26 + 9 + 614 + 1 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2696141898 and 2696141907.

It is not an unprimeable number, because it can be changed into a prime (2696141957) 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 23 ways as a sum of consecutive naturals, for example, 144418 + ... + 162014.

It is an arithmetic number, because the mean of its divisors is an integer number (48614475).

Almost surely, 2^2696141952 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 2696141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666989600).

2696141952 is an abundant number, since it is smaller than the sum of its proper divisors (6637837248).

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

2696141952 is a wasteful number, since it uses less digits than its factorization.

2696141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643 (or 17628 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2696141952 is about 51924.3868716810. The cubic root of 2696141952 is about 1391.8130942074.

The spelling of 2696141952 in words is "two billion, six hundred ninety-six million, one hundred forty-one thousand, nine hundred fifty-two".