2106360560512 has 128 divisors (see below), whose sum is σ = 4595188389120. Its totient is φ = 955802419200.

The previous prime is 2106360560509. The next prime is 2106360560519. The reversal of 2106360560512 is 2150650636012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106360560519) 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, 385001937 + ... + 385007407.

It is an arithmetic number, because the mean of its divisors is an integer number (35899909290).

Almost surely, 2^{2106360560512} 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 2106360560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297594194560).

2106360560512 is an abundant number, since it is smaller than the sum of its proper divisors (2488827828608).

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

2106360560512 is a wasteful number, since it uses less digits than its factorization.

2106360560512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 2106360560512 in words is "two trillion, one hundred six billion, three hundred sixty million, five hundred sixty thousand, five hundred twelve".