2105075398608 has 1600 divisors, whose sum is σ = 8483372029440. Its totient is φ = 487599243264.

The previous prime is 2105075398597. The next prime is 2105075398631. The reversal of 2105075398608 is 8068935705012.

2105075398608 is a `hidden beast` number, since 2 + 1 + 0 + 507 + 53 + 9 + 86 + 0 + 8 = 666.

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 2780812566 + ... + 2780813322.

Almost surely, 2^{2105075398608} is an apocalyptic number.

2105075398608 is a gapful number since it is divisible by the number (28) 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 2105075398608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241686014720).

2105075398608 is an abundant number, since it is smaller than the sum of its proper divisors (6378296630832).

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

2105075398608 is a wasteful number, since it uses less digits than its factorization.

2105075398608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2105075398608 in words is "two trillion, one hundred five billion, seventy-five million, three hundred ninety-eight thousand, six hundred eight".