2106640972800 has 2376 divisors, whose sum is σ = 9565091902080. Its totient is φ = 433609113600.

The previous prime is 2106640972763. The next prime is 2106640972801. The reversal of 2106640972800 is 82790466012.

It is a happy number.

2106640972800 is a `hidden beast` number, since 210 + 6 + 6 + 409 + 7 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106640972801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16081228735 + ... + 16081228865.

It is an arithmetic number, because the mean of its divisors is an integer number (4025712080).

Almost surely, 2^{2106640972800} is an apocalyptic number.

2106640972800 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 2106640972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782545951040).

2106640972800 is an abundant number, since it is smaller than the sum of its proper divisors (7458450929280).

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

2106640972800 is a wasteful number, since it uses less digits than its factorization.

2106640972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2106640972800 in words is "two trillion, one hundred six billion, six hundred forty million, nine hundred seventy-two thousand, eight hundred".