2206166976 has 448 divisors, whose sum is σ = 7604150400. Its totient is φ = 621084672.

The previous prime is 2206166971. The next prime is 2206167013. The reversal of 2206166976 is 6796616022.

2206166976 is a `hidden beast` number, since 2 + 20 + 616 + 6 + 9 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206166971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20240010 + ... + 20240118.

It is an arithmetic number, because the mean of its divisors is an integer number (16973550).

Almost surely, 2^2206166976 is an apocalyptic number.

2206166976 is a gapful number since it is divisible by the number (26) 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 2206166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802075200).

2206166976 is an abundant number, since it is smaller than the sum of its proper divisors (5397983424).

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

2206166976 is a wasteful number, since it uses less digits than its factorization.

2206166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2206166976 is about 46969.8517774966. The cubic root of 2206166976 is about 1301.8055731254.

The spelling of 2206166976 in words is "two billion, two hundred six million, one hundred sixty-six thousand, nine hundred seventy-six".