2206424892672 has 1728 divisors, whose sum is σ = 8815339653120. Its totient is φ = 512394854400.

The previous prime is 2206424892667. The next prime is 2206424892677. The reversal of 2206424892672 is 2762984246022.

2206424892672 is a `hidden beast` number, since 2 + 206 + 424 + 8 + 9 + 2 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2206424892667) and next prime (2206424892677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206424892677) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16842938047 + ... + 16842938177.

Almost surely, 2^{2206424892672} is an apocalyptic number.

2206424892672 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 2206424892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407669826560).

2206424892672 is an abundant number, since it is smaller than the sum of its proper divisors (6608914760448).

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

2206424892672 is a wasteful number, since it uses less digits than its factorization.

2206424892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2206424892672 in words is "two trillion, two hundred six billion, four hundred twenty-four million, eight hundred ninety-two thousand, six hundred seventy-two".