2202325122400 has 216 divisors, whose sum is σ = 6022573436880. Its totient is φ = 785124587520.

The previous prime is 2202325122359. The next prime is 2202325122401. The reversal of 2202325122400 is 42215232022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202325122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3639949 + ... + 4201651.

It is an arithmetic number, because the mean of its divisors is an integer number (27882284430).

Almost surely, 2^{2202325122400} is an apocalyptic number.

2202325122400 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 2202325122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011286718440).

2202325122400 is an abundant number, since it is smaller than the sum of its proper divisors (3820248314480).

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

2202325122400 is a wasteful number, since it uses less digits than its factorization.

2202325122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561778 (or 561752 counting only the distinct ones).

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

The spelling of 2202325122400 in words is "two trillion, two hundred two billion, three hundred twenty-five million, one hundred twenty-two thousand, four hundred".