2105004381696 has 480 divisors, whose sum is σ = 6476019758208. Its totient is φ = 682237624320.

The previous prime is 2105004381647. The next prime is 2105004381707. The reversal of 2105004381696 is 6961834005012.

2105004381696 is a `hidden beast` number, since 2 + 1 + 0 + 50 + 0 + 438 + 169 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374920451 + ... + 1374921981.

Almost surely, 2^{2105004381696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105004381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238009879104).

2105004381696 is an abundant number, since it is smaller than the sum of its proper divisors (4371015376512).

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

2105004381696 is an equidigital number, since it uses as much as digits as its factorization.

2105004381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2105004381696 in words is "two trillion, one hundred five billion, four million, three hundred eighty-one thousand, six hundred ninety-six".