2105040768768 has 432 divisors, whose sum is σ = 7172144179200. Its totient is φ = 581064744960.

The previous prime is 2105040768763. The next prime is 2105040768781. The reversal of 2105040768768 is 8678670405012.

2105040768768 is a `hidden beast` number, since 2 + 1 + 0 + 504 + 0 + 7 + 68 + 76 + 8 = 666.

It is a super-3 number, since 3×2105040768768³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105040768763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329475718 + ... + 329482106.

It is an arithmetic number, because the mean of its divisors is an integer number (16602185600).

Almost surely, 2^{2105040768768} is an apocalyptic number.

2105040768768 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 2105040768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586072089600).

2105040768768 is an abundant number, since it is smaller than the sum of its proper divisors (5067103410432).

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

2105040768768 is a wasteful number, since it uses less digits than its factorization.

2105040768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2105040768768 in words is "two trillion, one hundred five billion, forty million, seven hundred sixty-eight thousand, seven hundred sixty-eight".