2106500646000 has 320 divisors, whose sum is σ = 6877681050240. Its totient is φ = 554629939200.

The previous prime is 2106500645989. The next prime is 2106500646013. The reversal of 2106500646000 is 6460056012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191616504 + ... + 191627496.

It is an arithmetic number, because the mean of its divisors is an integer number (21492753282).

Almost surely, 2^{2106500646000} is an apocalyptic number.

2106500646000 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 2106500646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438840525120).

2106500646000 is an abundant number, since it is smaller than the sum of its proper divisors (4771180404240).

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

2106500646000 is a wasteful number, since it uses less digits than its factorization.

2106500646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11421 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 2106500646000 in words is "two trillion, one hundred six billion, five hundred million, six hundred forty-six thousand".