2206066287600 has 240 divisors, whose sum is σ = 8973671005440. Its totient is φ = 504243705600.

The previous prime is 2206066287587. The next prime is 2206066287629. The reversal of 2206066287600 is 67826606022.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14514786 + ... + 14665985.

It is an arithmetic number, because the mean of its divisors is an integer number (37390295856).

Almost surely, 2^{2206066287600} is an apocalyptic number.

2206066287600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2206066287600 is an abundant number, since it is smaller than the sum of its proper divisors (6767604717840).

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

2206066287600 is a wasteful number, since it uses less digits than its factorization.

2206066287600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29180805 (or 29180788 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2206066287600 in words is "two trillion, two hundred six billion, sixty-six million, two hundred eighty-seven thousand, six hundred".