2017917952 has 88 divisors (see below), whose sum is σ = 4496685840. Its totient is φ = 899481600.

The previous prime is 2017917943. The next prime is 2017917983. The reversal of 2017917952 is 2597197102.

It is a super-2 number, since 2×2017917952² = 8143985722007748608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2017917899 and 2017917908.

It is a congruent number.

It is an unprimeable number.

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, 327702 + ... + 333802.

Almost surely, 2^2017917952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248342920).

2017917952 is an abundant number, since it is smaller than the sum of its proper divisors (2478767888).

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

2017917952 is a wasteful number, since it uses less digits than its factorization.

2017917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 43.

The square root of 2017917952 is about 44921.2416569266. The cubic root of 2017917952 is about 1263.6724034860.

The spelling of 2017917952 in words is "two billion, seventeen million, nine hundred seventeen thousand, nine hundred fifty-two".