2177966016 has 224 divisors, whose sum is σ = 6838248960. Its totient is φ = 677376000.

The previous prime is 2177966009. The next prime is 2177966017. The reversal of 2177966016 is 6106697712.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2177966017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4435531 + ... + 4436021.

Almost surely, 2^2177966016 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 2177966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419124480).

2177966016 is an abundant number, since it is smaller than the sum of its proper divisors (4660282944).

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

2177966016 is a wasteful number, since it uses less digits than its factorization.

2177966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2177966016 is about 46668.6834611820. The cubic root of 2177966016 is about 1296.2348682701.

The spelling of 2177966016 in words is "two billion, one hundred seventy-seven million, nine hundred sixty-six thousand, sixteen".