2208456000 has 336 divisors, whose sum is σ = 8123316240. Its totient is φ = 572313600.

The previous prime is 2208455989. The next prime is 2208456007. The reversal of 2208456000 is 6548022.

2208456000 is a `hidden beast` number, since 2 + 20 + 84 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245611584 + 1962844416 = 15672^2 + 44304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208456007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663586 + ... + 2664414.

Almost surely, 2^2208456000 is an apocalyptic number.

2208456000 is a gapful number since it is divisible by the number (20) 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 2208456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061658120).

2208456000 is an abundant number, since it is smaller than the sum of its proper divisors (5914860240).

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

2208456000 is a wasteful number, since it uses less digits than its factorization.

2208456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2208456000 is about 46994.2124096149. The cubic root of 2208456000 is about 1302.2556499983.

The spelling of 2208456000 in words is "two billion, two hundred eight million, four hundred fifty-six thousand".