2208485664 has 432 divisors, whose sum is σ = 8187824736. Its totient is φ = 558028800.

The previous prime is 2208485651. The next prime is 2208485687. The reversal of 2208485664 is 4665848022.

2208485664 is a `hidden beast` number, since 2 + 2 + 0 + 84 + 8 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6364339 + ... + 6364685.

It is an arithmetic number, because the mean of its divisors is an integer number (18953298).

Almost surely, 2^2208485664 is an apocalyptic number.

2208485664 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 2208485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093912368).

2208485664 is an abundant number, since it is smaller than the sum of its proper divisors (5979339072).

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

2208485664 is a wasteful number, since it uses less digits than its factorization.

2208485664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2208485664 is about 46994.5280218878. The cubic root of 2208485664 is about 1302.2614806086.

The spelling of 2208485664 in words is "two billion, two hundred eight million, four hundred eighty-five thousand, six hundred sixty-four".