2208127309824 has 96 divisors (see below), whose sum is σ = 5887678829760. Its totient is φ = 735945302016.

The previous prime is 2208127309819. The next prime is 2208127309831. The reversal of 2208127309824 is 4289037218022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58146267 + ... + 58184229.

It is an arithmetic number, because the mean of its divisors is an integer number (61329987810).

Almost surely, 2^{2208127309824} is an apocalyptic number.

2208127309824 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 2208127309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943839414880).

2208127309824 is an abundant number, since it is smaller than the sum of its proper divisors (3679551519936).

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

2208127309824 is an equidigital number, since it uses as much as digits as its factorization.

2208127309824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47455 (or 47435 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2208127309824 in words is "two trillion, two hundred eight billion, one hundred twenty-seven million, three hundred nine thousand, eight hundred twenty-four".