2208894480 has 240 divisors, whose sum is σ = 8022246960. Its totient is φ = 541458432.

The previous prime is 2208894461. The next prime is 2208894481. The reversal of 2208894480 is 844988022.

It is a happy number.

2208894480 is a `hidden beast` number, since 2 + 2 + 0 + 88 + 94 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 230068224 + 1978826256 = 15168^2 + 44484^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2208894480³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2208894481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3827952 + ... + 3828528.

It is an arithmetic number, because the mean of its divisors is an integer number (33426029).

Almost surely, 2^2208894480 is an apocalyptic number.

2208894480 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 2208894480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011123480).

2208894480 is an abundant number, since it is smaller than the sum of its proper divisors (5813352480).

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

2208894480 is a wasteful number, since it uses less digits than its factorization.

2208894480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2208894480 is about 46998.8774334026. The cubic root of 2208894480 is about 1302.3418301578.

The spelling of 2208894480 in words is "two billion, two hundred eight million, eight hundred ninety-four thousand, four hundred eighty".