2109617558820 has 72 divisors (see below), whose sum is σ = 6636179694144. Its totient is φ = 562564681056.

The previous prime is 2109617558803. The next prime is 2109617558831. The reversal of 2109617558820 is 288557169012.

2109617558820 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 6 + 1 + 7 + 558 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 217033984 + ... + 217043703.

Almost surely, 2^{2109617558820} is an apocalyptic number.

2109617558820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2109617558820 is an abundant number, since it is smaller than the sum of its proper divisors (4526562135324).

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

2109617558820 is a wasteful number, since it uses less digits than its factorization.

2109617558820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434077711 (or 434077697 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 2109617558820 in words is "two trillion, one hundred nine billion, six hundred seventeen million, five hundred fifty-eight thousand, eight hundred twenty".