2206484624520 has 672 divisors, whose sum is σ = 8202387677400. Its totient is φ = 533553039360.

The previous prime is 2206484624483. The next prime is 2206484624527. The reversal of 2206484624520 is 254264846022.

2206484624520 is a `hidden beast` number, since 2 + 2 + 0 + 64 + 8 + 4 + 62 + 4 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1675279794276 + 531204830244 = 1294326^2 + 728838^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2206484624527) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 2727421876 + ... + 2727422684.

Almost surely, 2^{2206484624520} is an apocalyptic number.

2206484624520 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 2206484624520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101193838700).

2206484624520 is an abundant number, since it is smaller than the sum of its proper divisors (5995903052880).

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

2206484624520 is a wasteful number, since it uses less digits than its factorization.

2206484624520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 2206484624520 in words is "two trillion, two hundred six billion, four hundred eighty-four million, six hundred twenty-four thousand, five hundred twenty".