2208700164864 has 288 divisors, whose sum is σ = 6051814534080. Its totient is φ = 714866688000.

The previous prime is 2208700164841. The next prime is 2208700164871. The reversal of 2208700164864 is 4684610078022.

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

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 31 ways as a sum of consecutive naturals, for example, 2730160492 + ... + 2730161300.

It is an arithmetic number, because the mean of its divisors is an integer number (21013244910).

Almost surely, 2^{2208700164864} is an apocalyptic number.

2208700164864 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 2208700164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025907267040).

2208700164864 is an abundant number, since it is smaller than the sum of its proper divisors (3843114369216).

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

2208700164864 is a wasteful number, since it uses less digits than its factorization.

2208700164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2208700164864 in words is "two trillion, two hundred eight billion, seven hundred million, one hundred sixty-four thousand, eight hundred sixty-four".