2105673570 has 640 divisors, whose sum is σ = 7903526400. Its totient is φ = 396264960.

The previous prime is 2105673569. The next prime is 2105673571. The reversal of 2105673570 is 753765012.

2105673570 is a `hidden beast` number, since 2 + 10 + 5 + 6 + 73 + 570 = 666.

It is an interprime number because it is at equal distance from previous prime (2105673569) and next prime (2105673571).

It is a super-2 number, since 2×2105673570² = 8867722366793089800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2105673571) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39729664 + ... + 39729716.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^2105673570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105673570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951763200).

2105673570 is an abundant number, since it is smaller than the sum of its proper divisors (5797852830).

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

2105673570 is a wasteful number, since it uses less digits than its factorization.

2105673570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 2105673570 is about 45887.6189183967. The cubic root of 2105673570 is about 1281.7313748778.

It can be divided in two parts, 21056735 and 70, that added together give a triangular number (21056805 = T₆₄₈₉).

The spelling of 2105673570 in words is "two billion, one hundred five million, six hundred seventy-three thousand, five hundred seventy".