2117208128 has 28 divisors (see below), whose sum is σ = 4801526592. Its totient is φ = 907374720.

The previous prime is 2117208127. The next prime is 2117208139. The reversal of 2117208128 is 8218027112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-4 number, since 4×2117208128⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2117208094 and 2117208103.

It is not an unprimeable number, because it can be changed into a prime (2117208127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2362508 + ... + 2363403.

Almost surely, 2^2117208128 is an apocalyptic number.

2117208128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2117208128 is an abundant number, since it is smaller than the sum of its proper divisors (2684318464).

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

2117208128 is an equidigital number, since it uses as much as digits as its factorization.

2117208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725930 (or 4725920 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 2117208128 is about 46013.1299522212. The cubic root of 2117208128 is about 1284.0674906214.

The spelling of 2117208128 in words is "two billion, one hundred seventeen million, two hundred eight thousand, one hundred twenty-eight".