2111755968 has 112 divisors (see below), whose sum is σ = 7095093760. Its totient is φ = 603355392.

The previous prime is 2111755967. The next prime is 2111755981. The reversal of 2111755968 is 8695571112.

2111755968 is a `hidden beast` number, since 21 + 1 + 17 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2111755967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75196 + ... + 99387.

Almost surely, 2^2111755968 is an apocalyptic number.

2111755968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2111755968 is an abundant number, since it is smaller than the sum of its proper divisors (4983337792).

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

2111755968 is a wasteful number, since it uses less digits than its factorization.

2111755968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174611 (or 174595 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 2111755968 is about 45953.8460631969. The cubic root of 2111755968 is about 1282.9643146267.

The spelling of 2111755968 in words is "two billion, one hundred eleven million, seven hundred fifty-five thousand, nine hundred sixty-eight".