2120010993 has 48 divisors (see below), whose sum is σ = 3416774400. Its totient is φ = 1259799552.

The previous prime is 2120010979. The next prime is 2120011001. The reversal of 2120010993 is 3990100212.

It is not a de Polignac number, because 2120010993 - 2⁶ = 2120010929 is a prime.

It is a super-2 number, since 2×2120010993² = 8988893220881692098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120010923) 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 47 ways as a sum of consecutive naturals, for example, 359533 + ... + 365381.

It is an arithmetic number, because the mean of its divisors is an integer number (71182800).

Almost surely, 2^2120010993 is an apocalyptic number.

2120010993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2120010993 is a deficient number, since it is larger than the sum of its proper divisors (1296763407).

2120010993 is a wasteful number, since it uses less digits than its factorization.

2120010993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2120010993 is about 46043.5771090822. The cubic root of 2120010993 is about 1284.6338781419.

The spelling of 2120010993 in words is "two billion, one hundred twenty million, ten thousand, nine hundred ninety-three".