2106388640160 has 768 divisors, whose sum is σ = 8729804160000. Its totient is φ = 464127197184.

The previous prime is 2106388640113. The next prime is 2106388640173. The reversal of 2106388640160 is 610468836012.

2106388640160 is a `hidden beast` number, since 2 + 1 + 0 + 638 + 8 + 6 + 4 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 709459156 + ... + 709462124.

It is an arithmetic number, because the mean of its divisors is an integer number (11366932500).

Almost surely, 2^{2106388640160} is an apocalyptic number.

2106388640160 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 2106388640160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364902080000).

2106388640160 is an abundant number, since it is smaller than the sum of its proper divisors (6623415519840).

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

2106388640160 is a wasteful number, since it uses less digits than its factorization.

2106388640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2106388640160 in words is "two trillion, one hundred six billion, three hundred eighty-eight million, six hundred forty thousand, one hundred sixty".