2105795560 has 128 divisors (see below), whose sum is σ = 5417280000. Its totient is φ = 729630720.

The previous prime is 2105795557. The next prime is 2105795563. The reversal of 2105795560 is 655975012.

It is an interprime number because it is at equal distance from previous prime (2105795557) and next prime (2105795563).

It is a super-3 number, since 3×2105795560³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2105795563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006996 + ... + 1009084.

It is an arithmetic number, because the mean of its divisors is an integer number (42322500).

Almost surely, 2^2105795560 is an apocalyptic number.

2105795560 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 2105795560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708640000).

2105795560 is an abundant number, since it is smaller than the sum of its proper divisors (3311484440).

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

2105795560 is a wasteful number, since it uses less digits than its factorization.

2105795560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 40.

The square root of 2105795560 is about 45888.9481247936. The cubic root of 2105795560 is about 1281.7561263229.

The spelling of 2105795560 in words is "two billion, one hundred five million, seven hundred ninety-five thousand, five hundred sixty".