2106891730944 has 1920 divisors, whose sum is σ = 8637194237760. Its totient is φ = 496867737600.

The previous prime is 2106891730943. The next prime is 2106891731003. The reversal of 2106891730944 is 4490371986012.

2106891730944 is a `hidden beast` number, since 210 + 6 + 89 + 1 + 7 + 309 + 44 = 666.

It is a super-2 number, since 2×2106891730944² (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 not an unprimeable number, because it can be changed into a prime (2106891730943) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34539208674 + ... + 34539208734.

Almost surely, 2^{2106891730944} is an apocalyptic number.

2106891730944 is a gapful number since it is divisible by the number (24) 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 2106891730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318597118880).

2106891730944 is an abundant number, since it is smaller than the sum of its proper divisors (6530302506816).

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

2106891730944 is an equidigital number, since it uses as much as digits as its factorization.

2106891730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2106891730944 in words is "two trillion, one hundred six billion, eight hundred ninety-one million, seven hundred thirty thousand, nine hundred forty-four".