2245396800 has 336 divisors, whose sum is σ = 7755575040. Its totient is φ = 568074240.

The previous prime is 2245396793. The next prime is 2245396831. The reversal of 2245396800 is 86935422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 8347066 + ... + 8347334.

Almost surely, 2^2245396800 is an apocalyptic number.

2245396800 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 2245396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877787520).

2245396800 is an abundant number, since it is smaller than the sum of its proper divisors (5510178240).

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

2245396800 is a wasteful number, since it uses less digits than its factorization.

2245396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2245396800 is about 47385.6180713094. The cubic root of 2245396800 is about 1309.4764724287.

The spelling of 2245396800 in words is "two billion, two hundred forty-five million, three hundred ninety-six thousand, eight hundred".