2206521345600 has 2016 divisors, whose sum is σ = 10028389392000. Its totient is φ = 467505561600.

The previous prime is 2206521345599. The next prime is 2206521345629. The reversal of 2206521345600 is 65431256022.

2206521345600 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 5 + 2 + 1 + 3 + 45 + 600 = 666.

It is a super-3 number, since 3×2206521345600³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 1291117546 + ... + 1291119254.

It is an arithmetic number, because the mean of its divisors is an integer number (4974399500).

Almost surely, 2^{2206521345600} is an apocalyptic number.

2206521345600 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 2206521345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014194696000).

2206521345600 is an abundant number, since it is smaller than the sum of its proper divisors (7821868046400).

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

2206521345600 is a wasteful number, since it uses less digits than its factorization.

2206521345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2206521345600 in words is "two trillion, two hundred six billion, five hundred twenty-one million, three hundred forty-five thousand, six hundred".