2010177216 has 224 divisors, whose sum is σ = 6162324480. Its totient is φ = 642051072.

The previous prime is 2010177203. The next prime is 2010177251. The reversal of 2010177216 is 6127710102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2010177216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4304215 + ... + 4304681.

Almost surely, 2^2010177216 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 2010177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081162240).

2010177216 is an abundant number, since it is smaller than the sum of its proper divisors (4152147264).

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

2010177216 is a wasteful number, since it uses less digits than its factorization.

2010177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2010177216 is about 44834.9998996320. Note that the first 3 decimals coincide. The cubic root of 2010177216 is about 1262.0545166293.

Adding to 2010177216 its reverse (6127710102), we get a palindrome (8137887318).

The spelling of 2010177216 in words is "two billion, ten million, one hundred seventy-seven thousand, two hundred sixteen".