2206245599712 has 288 divisors, whose sum is σ = 7823815743744. Its totient is φ = 572928307200.

The previous prime is 2206245599693. The next prime is 2206245599731. The reversal of 2206245599712 is 2179955426022.

2206245599712 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 2 + 45 + 599 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2206245599693) and next prime (2206245599731).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 154049512 + ... + 154063832.

It is an arithmetic number, because the mean of its divisors is an integer number (27166026888).

Almost surely, 2^{2206245599712} is an apocalyptic number.

2206245599712 is a gapful number since it is divisible by the number (22) 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 2206245599712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911907871872).

2206245599712 is an abundant number, since it is smaller than the sum of its proper divisors (5617570144032).

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

2206245599712 is a wasteful number, since it uses less digits than its factorization.

2206245599712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21302 (or 21291 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 2206245599712 in words is "two trillion, two hundred six billion, two hundred forty-five million, five hundred ninety-nine thousand, seven hundred twelve".