2113692768 has 144 divisors (see below), whose sum is σ = 6593133456. Its totient is φ = 637009920.

The previous prime is 2113692743. The next prime is 2113692853. The reversal of 2113692768 is 8672963112.

2113692768 is a `hidden beast` number, since 2 + 11 + 369 + 276 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609696 + ... + 613152.

It is an arithmetic number, because the mean of its divisors is an integer number (45785649).

Almost surely, 2^2113692768 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 2113692768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296566728).

2113692768 is an abundant number, since it is smaller than the sum of its proper divisors (4479440688).

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

2113692768 is a wasteful number, since it uses less digits than its factorization.

2113692768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3666 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2113692768 is about 45974.9145513072. The cubic root of 2113692768 is about 1283.3564189622.

The spelling of 2113692768 in words is "two billion, one hundred thirteen million, six hundred ninety-two thousand, seven hundred sixty-eight".