2106982896012 has 96 divisors (see below), whose sum is σ = 5747018907840. Its totient is φ = 666678781440.

The previous prime is 2106982895861. The next prime is 2106982896017.

It is a happy number.

2106982896012 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 9 + 8 + 28 + 9 + 601 + 2 = 666.

2106982896012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2106982896012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2106982896012.

It is not an unprimeable number, because it can be changed into a prime (2106982896017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266323 + ... + 6593994.

It is an arithmetic number, because the mean of its divisors is an integer number (59864780290).

Almost surely, 2^{2106982896012} is an apocalyptic number.

It is an amenable number.

2106982896012 is an abundant number, since it is smaller than the sum of its proper divisors (3640036011828).

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

2106982896012 is a wasteful number, since it uses less digits than its factorization.

2106982896012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860408 (or 12860400 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2106982896012 in words is "two trillion, one hundred six billion, nine hundred eighty-two million, eight hundred ninety-six thousand, twelve".