2028217617 has 16 divisors (see below), whose sum is σ = 3005460480. Its totient is φ = 1351832976.

The previous prime is 2028217613. The next prime is 2028217661. The reversal of 2028217617 is 7167128202.

2028217617 is a `hidden beast` number, since 2 + 0 + 28 + 2 + 17 + 617 = 666.

It is not a de Polignac number, because 2028217617 - 2² = 2028217613 is a prime.

It is a super-2 number, since 2×2028217617² = 8227333403818317378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028217613) 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 15 ways as a sum of consecutive naturals, for example, 223623 + ... + 232515.

It is an arithmetic number, because the mean of its divisors is an integer number (187841280).

Almost surely, 2^2028217617 is an apocalyptic number.

2028217617 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2028217617 is a deficient number, since it is larger than the sum of its proper divisors (977242863).

2028217617 is an equidigital number, since it uses as much as digits as its factorization.

2028217617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349 (or 17343 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2028217617 is about 45035.7371095445. The cubic root of 2028217617 is about 1265.8187281170.

The spelling of 2028217617 in words is "two billion, twenty-eight million, two hundred seventeen thousand, six hundred seventeen".