2206441650600 has 576 divisors, whose sum is σ = 8237044670400. Its totient is φ = 524786688000.

The previous prime is 2206441650599. The next prime is 2206441650629. The reversal of 2206441650600 is 60561446022.

2206441650600 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 41 + 6 + 5 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 522975291 + ... + 522979509.

It is an arithmetic number, because the mean of its divisors is an integer number (14300424775).

Almost surely, 2^{2206441650600} is an apocalyptic number.

2206441650600 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 2206441650600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118522335200).

2206441650600 is an abundant number, since it is smaller than the sum of its proper divisors (6030603019800).

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

2206441650600 is a wasteful number, since it uses less digits than its factorization.

2206441650600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2206441650600 in words is "two trillion, two hundred six billion, four hundred forty-one million, six hundred fifty thousand, six hundred".