2245430201200 has 120 divisors (see below), whose sum is σ = 5505762430080. Its totient is φ = 879821817600.

The previous prime is 2245430201171. The next prime is 2245430201237. The reversal of 2245430201200 is 21020345422.

It is a super-2 number, since 2×2245430201200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4563165 + ... + 5031235.

It is an arithmetic number, because the mean of its divisors is an integer number (45881353584).

Almost surely, 2^{2245430201200} is an apocalyptic number.

2245430201200 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 2245430201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752881215040).

2245430201200 is an abundant number, since it is smaller than the sum of its proper divisors (3260332228880).

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

2245430201200 is a wasteful number, since it uses less digits than its factorization.

2245430201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468335 (or 468324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2245430201200 its reverse (21020345422), we get a palindrome (2266450546622).

The spelling of 2245430201200 in words is "two trillion, two hundred forty-five billion, four hundred thirty million, two hundred one thousand, two hundred".