2106718009920 has 168 divisors, whose sum is σ = 7514611401024. Its totient is φ = 561791448576.

The previous prime is 2106718009909. The next prime is 2106718009961. The reversal of 2106718009920 is 299008176012.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13468524 + ... + 13624043.

It is an arithmetic number, because the mean of its divisors is an integer number (44729829768).

Almost surely, 2^{2106718009920} is an apocalyptic number.

2106718009920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106718009920 is an abundant number, since it is smaller than the sum of its proper divisors (5407893391104).

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

2106718009920 is an equidigital number, since it uses as much as digits as its factorization.

2106718009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27092599 (or 27092577 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 2106718009920 in words is "two trillion, one hundred six billion, seven hundred eighteen million, nine thousand, nine hundred twenty".