2102117580 has 36 divisors (see below), whose sum is σ = 6376423872. Its totient is φ = 560564640.

The previous prime is 2102117561. The next prime is 2102117581. The reversal of 2102117580 is 857112012.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2102117581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5839036 + ... + 5839395.

Almost surely, 2^2102117580 is an apocalyptic number.

2102117580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102117580 is an abundant number, since it is smaller than the sum of its proper divisors (4274306292).

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

2102117580 is a wasteful number, since it uses less digits than its factorization.

2102117580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678446 (or 11678441 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 2102117580 is about 45848.8558199657. The cubic root of 2102117580 is about 1281.0094535370.

Adding to 2102117580 its reverse (857112012), we get a palindrome (2959229592).

The spelling of 2102117580 in words is "two billion, one hundred two million, one hundred seventeen thousand, five hundred eighty".