2106873980928 has 576 divisors, whose sum is σ = 6736157588160. Its totient is φ = 655589376000.

The previous prime is 2106873980927. The next prime is 2106873980929. The reversal of 2106873980928 is 8290893786012.

2106873980928 is a `hidden beast` number, since 210 + 6 + 8 + 7 + 398 + 0 + 9 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2106873980927) and next prime (2106873980929).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2106873980928² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2106873980927) 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, 1108296778 + ... + 1108298678.

It is an arithmetic number, because the mean of its divisors is an integer number (11694718035).

Almost surely, 2^{2106873980928} 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 2106873980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368078794080).

2106873980928 is an abundant number, since it is smaller than the sum of its proper divisors (4629283607232).

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

2106873980928 is a wasteful number, since it uses less digits than its factorization.

2106873980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2106873980928 in words is "two trillion, one hundred six billion, eight hundred seventy-three million, nine hundred eighty thousand, nine hundred twenty-eight".