2110557705000 has 160 divisors (see below), whose sum is σ = 6599067747360. Its totient is φ = 562330080000.

The previous prime is 2110557704951. The next prime is 2110557705001. The reversal of 2110557705000 is 5077550112.

It is a super-2 number, since 2×2110557705000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2110557705001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17504922 + ... + 17625078.

It is an arithmetic number, because the mean of its divisors is an integer number (41244173421).

Almost surely, 2^{2110557705000} is an apocalyptic number.

2110557705000 is a gapful number since it is divisible by the number (20) 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 2110557705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299533873680).

2110557705000 is an abundant number, since it is smaller than the sum of its proper divisors (4488510042360).

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

2110557705000 is a wasteful number, since it uses less digits than its factorization.

2110557705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121357 (or 121338 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 33.

The spelling of 2110557705000 in words is "two trillion, one hundred ten billion, five hundred fifty-seven million, seven hundred five thousand".