2206537516512 has 432 divisors, whose sum is σ = 7342409797632. Its totient is φ = 628562592000.

The previous prime is 2206537516507. The next prime is 2206537516531. The reversal of 2206537516512 is 2156157356022.

It is a happy number.

2206537516512 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 53 + 75 + 16 + 512 = 666.

It is a super-2 number, since 2×2206537516512² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2938132137 + ... + 2938132887.

It is an arithmetic number, because the mean of its divisors is an integer number (16996318976).

Almost surely, 2^{2206537516512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206537516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671204898816).

2206537516512 is an abundant number, since it is smaller than the sum of its proper divisors (5135872281120).

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

2206537516512 is an frugal number, since it uses more digits than its factorization.

2206537516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2206537516512 in words is "two trillion, two hundred six billion, five hundred thirty-seven million, five hundred sixteen thousand, five hundred twelve".