2106749787972 has 96 divisors (see below), whose sum is σ = 5490590676480. Its totient is φ = 624813396480.

The previous prime is 2106749787959. The next prime is 2106749787979. The reversal of 2106749787972 is 2797879476012.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2106749787897 and 2106749787906.

It is not an unprimeable number, because it can be changed into a prime (2106749787979) 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, 1228147 + ... + 2392037.

It is an arithmetic number, because the mean of its divisors is an integer number (57193652880).

Almost surely, 2^{2106749787972} 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 2106749787972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745295338240).

2106749787972 is an abundant number, since it is smaller than the sum of its proper divisors (3383840888508).

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

2106749787972 is a wasteful number, since it uses less digits than its factorization.

2106749787972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164401 (or 1164399 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 69.

The spelling of 2106749787972 in words is "two trillion, one hundred six billion, seven hundred forty-nine million, seven hundred eighty-seven thousand, nine hundred seventy-two".