2672844023808 has 480 divisors, whose sum is σ = 9249377417280. Its totient is φ = 753184604160.

The previous prime is 2672844023803. The next prime is 2672844023849. The reversal of 2672844023808 is 8083204482762.

2672844023808 is a `hidden beast` number, since 267 + 284 + 4 + 0 + 23 + 80 + 8 = 666.

It is a super-2 number, since 2×2672844023808² (a number of 26 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 (2672844023803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84753003 + ... + 84784533.

It is an arithmetic number, because the mean of its divisors is an integer number (19269536286).

Almost surely, 2^{2672844023808} is an apocalyptic number.

2672844023808 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 2672844023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624688708640).

2672844023808 is an abundant number, since it is smaller than the sum of its proper divisors (6576533393472).

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

2672844023808 is an equidigital number, since it uses as much as digits as its factorization.

2672844023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31645 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 2672844023808 in words is "two trillion, six hundred seventy-two billion, eight hundred forty-four million, twenty-three thousand, eight hundred eight".