2205403200 has 1680 divisors, whose sum is σ = 11524512384. Its totient is φ = 398131200.

The previous prime is 2205403199. The next prime is 2205403247. The reversal of 2205403200 is 23045022.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 129729592 + ... + 129729608.

2205403200 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^2205403200 is an apocalyptic number.

2205403200 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 2205403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762256192).

2205403200 is an abundant number, since it is smaller than the sum of its proper divisors (9319109184).

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

2205403200 is a wasteful number, since it uses less digits than its factorization.

2205403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2205403200 is about 46961.7205817674. The cubic root of 2205403200 is about 1301.6553272272.

Adding to 2205403200 its reverse (23045022), we get a palindrome (2228448222).

The spelling of 2205403200 in words is "two billion, two hundred five million, four hundred three thousand, two hundred".