2208108672 has 576 divisors, whose sum is σ = 8352314880. Its totient is φ = 547430400.

The previous prime is 2208108667. The next prime is 2208108701. The reversal of 2208108672 is 2768018022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30248028 + ... + 30248100.

Almost surely, 2^2208108672 is an apocalyptic number.

2208108672 is a gapful number since it is divisible by the number (22) 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 2208108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176157440).

2208108672 is an abundant number, since it is smaller than the sum of its proper divisors (6144206208).

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

2208108672 is a wasteful number, since it uses less digits than its factorization.

2208108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2208108672 is about 46990.5168305266. The cubic root of 2208108672 is about 1302.1873770262.

The spelling of 2208108672 in words is "two billion, two hundred eight million, one hundred eight thousand, six hundred seventy-two".