2208078400 has 168 divisors, whose sum is σ = 5986759680. Its totient is φ = 794880000.

The previous prime is 2208078343. The next prime is 2208078443. The reversal of 2208078400 is 48708022.

It is a super-2 number, since 2×2208078400² = 9751220441093120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1917825 + ... + 1918975.

Almost surely, 2^2208078400 is an apocalyptic number.

2208078400 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 2208078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

2208078400 is an abundant number, since it is smaller than the sum of its proper divisors (3778681280).

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

2208078400 is a wasteful number, since it uses less digits than its factorization.

2208078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 2208078400 is about 46990.1947218779. The cubic root of 2208078400 is about 1302.1814262327.

The spelling of 2208078400 in words is "two billion, two hundred eight million, seventy-eight thousand, four hundred".