2105346362240 has 128 divisors (see below), whose sum is σ = 5496691415040. Its totient is φ = 764737792000.

The previous prime is 2105346362179. The next prime is 2105346362243. The reversal of 2105346362240 is 422636435012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2105346362194 and 2105346362203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105346362243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6249305 + ... + 6577575.

It is an arithmetic number, because the mean of its divisors is an integer number (42942901680).

Almost surely, 2^{2105346362240} is an apocalyptic number.

2105346362240 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 2105346362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748345707520).

2105346362240 is an abundant number, since it is smaller than the sum of its proper divisors (3391345052800).

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

2105346362240 is a wasteful number, since it uses less digits than its factorization.

2105346362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329212 (or 329200 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 2105346362240 in words is "two trillion, one hundred five billion, three hundred forty-six million, three hundred sixty-two thousand, two hundred forty".