2106491968 has 56 divisors (see below), whose sum is σ = 4874768000. Its totient is φ = 902772864.

The previous prime is 2106491963. The next prime is 2106491983. The reversal of 2106491968 is 8691946012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2106491968² = 8874616822497026048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2106491963) 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 7 ways as a sum of consecutive naturals, for example, 26028 + ... + 69931.

Almost surely, 2^2106491968 is an apocalyptic number.

2106491968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2106491968 is an abundant number, since it is smaller than the sum of its proper divisors (2768276032).

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

2106491968 is an frugal number, since it uses more digits than its factorization.

2106491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95992 (or 95968 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 2106491968 is about 45896.5354683771. The cubic root of 2106491968 is about 1281.8974073436.

The spelling of 2106491968 in words is "two billion, one hundred six million, four hundred ninety-one thousand, nine hundred sixty-eight".