2208670654464 has 672 divisors, whose sum is σ = 6874430524416. Its totient is φ = 708036526080.

The previous prime is 2208670654439. The next prime is 2208670654529. The reversal of 2208670654464 is 4644560768022.

It is a happy number.

2208670654464 is a `hidden beast` number, since 2 + 20 + 8 + 6 + 70 + 6 + 544 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2208670654464.

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 47 ways as a sum of consecutive naturals, for example, 11563720609 + ... + 11563720799.

It is an arithmetic number, because the mean of its divisors is an integer number (10229807328).

Almost surely, 2^{2208670654464} is an apocalyptic number.

2208670654464 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 2208670654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437215262208).

2208670654464 is an abundant number, since it is smaller than the sum of its proper divisors (4665759869952).

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

2208670654464 is an equidigital number, since it uses as much as digits as its factorization.

2208670654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2208670654464 in words is "two trillion, two hundred eight billion, six hundred seventy million, six hundred fifty-four thousand, four hundred sixty-four".