2245522213200 has 240 divisors, whose sum is σ = 8302146592896. Its totient is φ = 508180224000.

The previous prime is 2245522213189. The next prime is 2245522213223. The reversal of 2245522213200 is 23122255422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474987 + ... + 2171786.

Almost surely, 2^{2245522213200} is an apocalyptic number.

2245522213200 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 2245522213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151073296448).

2245522213200 is an abundant number, since it is smaller than the sum of its proper divisors (6056624379696).

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

2245522213200 is a wasteful number, since it uses less digits than its factorization.

2245522213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646902 (or 2646891 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2245522213200 its reverse (23122255422), we get a palindrome (2268644468622).

The spelling of 2245522213200 in words is "two trillion, two hundred forty-five billion, five hundred twenty-two million, two hundred thirteen thousand, two hundred".