2245323600 has 180 divisors, whose sum is σ = 8391448156. Its totient is φ = 552683520.

The previous prime is 2245323581. The next prime is 2245323601. The reversal of 2245323600 is 63235422.

2245323600 is a `hidden beast` number, since 2 + 2 + 4 + 53 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 2242211904 = 1764^2 + 47352^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245323601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22812 + ... + 70788.

Almost surely, 2^2245323600 is an apocalyptic number.

2245323600 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 2245323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195724078).

2245323600 is an abundant number, since it is smaller than the sum of its proper divisors (6146124556).

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

2245323600 is a wasteful number, since it uses less digits than its factorization.

2245323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48014 (or 48000 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2245323600 is about 47384.8456787611. The cubic root of 2245323600 is about 1309.4622426172.

The spelling of 2245323600 in words is "two billion, two hundred forty-five million, three hundred twenty-three thousand, six hundred".