2028201129600 has 192 divisors, whose sum is σ = 7073352008640. Its totient is φ = 509038673920.

The previous prime is 2028201129589. The next prime is 2028201129631. The reversal of 2028201129600 is 69211028202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2028201129600² (a number of 25 digits) contains 22 as substring.

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, 6050652 + ... + 6377051.

It is an arithmetic number, because the mean of its divisors is an integer number (36840375045).

Almost surely, 2^{2028201129600} is an apocalyptic number.

2028201129600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028201129600 is an abundant number, since it is smaller than the sum of its proper divisors (5045150879040).

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

2028201129600 is a wasteful number, since it uses less digits than its factorization.

2028201129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427747 (or 12427730 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 2028201129600 in words is "two trillion, twenty-eight billion, two hundred one million, one hundred twenty-nine thousand, six hundred".