2107774091808 has 1296 divisors, whose sum is σ = 8093743178976. Its totient is φ = 533468436480.

The previous prime is 2107774091803. The next prime is 2107774091897. The reversal of 2107774091808 is 8081904777012.

2107774091808 is a `hidden beast` number, since 210 + 7 + 7 + 7 + 409 + 18 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (2107774091803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25394868535 + ... + 25394868617.

It is an arithmetic number, because the mean of its divisors is an integer number (6245172206).

Almost surely, 2^{2107774091808} is an apocalyptic number.

2107774091808 is a gapful number since it is divisible by the number (28) 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 2107774091808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046871589488).

2107774091808 is an abundant number, since it is smaller than the sum of its proper divisors (5985969087168).

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

2107774091808 is an equidigital number, since it uses as much as digits as its factorization.

2107774091808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 2107774091808 in words is "two trillion, one hundred seven billion, seven hundred seventy-four million, ninety-one thousand, eight hundred eight".