2371200221600 has 288 divisors, whose sum is σ = 6818298600960. Its totient is φ = 788352445440.

The previous prime is 2371200221569. The next prime is 2371200221647. The reversal of 2371200221600 is 61220021732.

It is a self number, because there is not a number n which added to its sum of digits gives 2371200221600.

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, 33435779 + ... + 33506621.

It is an arithmetic number, because the mean of its divisors is an integer number (23674647920).

Almost surely, 2^{2371200221600} is an apocalyptic number.

2371200221600 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 2371200221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409149300480).

2371200221600 is an abundant number, since it is smaller than the sum of its proper divisors (4447098379360).

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

2371200221600 is a wasteful number, since it uses less digits than its factorization.

2371200221600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71052 (or 71039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 2371200221600 in words is "two trillion, three hundred seventy-one billion, two hundred million, two hundred twenty-one thousand, six hundred".