2117580556 has 48 divisors (see below), whose sum is σ = 4568085760. Its totient is φ = 836412480.

The previous prime is 2117580523. The next prime is 2117580589. The reversal of 2117580556 is 6550857112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2117580523) and next prime (2117580589).

It is a super-2 number, since 2×2117580556² = 8968294822298538272, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247315 + ... + 255733.

Almost surely, 2^2117580556 is an apocalyptic number.

2117580556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117580556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284042880).

2117580556 is an abundant number, since it is smaller than the sum of its proper divisors (2450505204).

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

2117580556 is a wasteful number, since it uses less digits than its factorization.

2117580556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 40.

The square root of 2117580556 is about 46017.1767495573. The cubic root of 2117580556 is about 1284.1427776064.

The spelling of 2117580556 in words is "two billion, one hundred seventeen million, five hundred eighty thousand, five hundred fifty-six".