2245840200 has 108 divisors (see below), whose sum is σ = 7549038315. Its totient is φ = 598354560.

The previous prime is 2245840193. The next prime is 2245840211. The reversal of 2245840200 is 20485422.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2245840200 is a `hidden beast` number, since 2 + 2 + 458 + 4 + 0 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 11009124 + 2234831076 = 3318^2 + 47274^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33510.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2010042 + ... + 2011158.

Almost surely, 2^2245840200 is an apocalyptic number.

2245840200 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 2245840200

2245840200 is an abundant number, since it is smaller than the sum of its proper divisors (5303198115).

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

2245840200 is a wasteful number, since it uses less digits than its factorization.

2245840200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2245840200 is about 47390.2964751224. The cubic root of 2245840200 is about 1309.5626611524.

The spelling of 2245840200 in words is "two billion, two hundred forty-five million, eight hundred forty thousand, two hundred".