2208332000 has 288 divisors, whose sum is σ = 6655128480. Its totient is φ = 716083200.

The previous prime is 2208331967. The next prime is 2208332003. The reversal of 2208332000 is 2338022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208332003) 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, 3723704 + ... + 3724296.

It is an arithmetic number, because the mean of its divisors is an integer number (23108085).

Almost surely, 2^2208332000 is an apocalyptic number.

2208332000 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 2208332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327564240).

2208332000 is an abundant number, since it is smaller than the sum of its proper divisors (4446796480).

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

2208332000 is a wasteful number, since it uses less digits than its factorization.

2208332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2208332000 is about 46992.8930796988. The cubic root of 2208332000 is about 1302.2312766015.

The spelling of 2208332000 in words is "two billion, two hundred eight million, three hundred thirty-two thousand".