2105970019200 has 384 divisors, whose sum is σ = 7722868800000. Its totient is φ = 560455096320.

The previous prime is 2105970019183. The next prime is 2105970019201. The reversal of 2105970019200 is 29100795012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105970019201) 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, 43089177 + ... + 43138023.

It is an arithmetic number, because the mean of its divisors is an integer number (20111637500).

Almost surely, 2^{2105970019200} is an apocalyptic number.

2105970019200 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 2105970019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861434400000).

2105970019200 is an abundant number, since it is smaller than the sum of its proper divisors (5616898780800).

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

2105970019200 is a wasteful number, since it uses less digits than its factorization.

2105970019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49379 (or 49356 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 2105970019200 in words is "two trillion, one hundred five billion, nine hundred seventy million, nineteen thousand, two hundred".