2022225987600 has 1920 divisors, whose sum is σ = 9070019481600. Its totient is φ = 416644300800.

The previous prime is 2022225987599. The next prime is 2022225987619. The reversal of 2022225987600 is 67895222202.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14548388331 + ... + 14548388469.

It is an arithmetic number, because the mean of its divisors is an integer number (4723968480).

Almost surely, 2^{2022225987600} is an apocalyptic number.

2022225987600 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 2022225987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535009740800).

2022225987600 is an abundant number, since it is smaller than the sum of its proper divisors (7047793494000).

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

2022225987600 is a wasteful number, since it uses less digits than its factorization.

2022225987600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2022225987600 in words is "two trillion, twenty-two billion, two hundred twenty-five million, nine hundred eighty-seven thousand, six hundred".