2105055040000 has 400 divisors, whose sum is σ = 5769561099456. Its totient is φ = 760678400000.

The previous prime is 2105055039961. The next prime is 2105055040001. The reversal of 2105055040000 is 405505012.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2105055040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 587838210 + ... + 587841790.

Almost surely, 2^{2105055040000} is an apocalyptic number.

2105055040000 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 2105055040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884780549728).

2105055040000 is an abundant number, since it is smaller than the sum of its proper divisors (3664506059456).

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

2105055040000 is an equidigital number, since it uses as much as digits as its factorization.

2105055040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 2105055040000 in words is "two trillion, one hundred five billion, fifty-five million, forty thousand".