2082662010 has 512 divisors, whose sum is σ = 7315660800. Its totient is φ = 413061120.

The previous prime is 2082662003. The next prime is 2082662011. The reversal of 2082662010 is 102662802.

2082662010 is a `hidden beast` number, since 2 + 0 + 8 + 26 + 620 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2082662011) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 12470947 + ... + 12471113.

It is an arithmetic number, because the mean of its divisors is an integer number (14288400).

Almost surely, 2^2082662010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082662010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2082662010 is an abundant number, since it is smaller than the sum of its proper divisors (5232998790).

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

2082662010 is a wasteful number, since it uses less digits than its factorization.

2082662010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2082662010 is about 45636.1918875798. The cubic root of 2082662010 is about 1277.0451882107.

It can be divided in two parts, 208266 and 2010, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2082662010 in words is "two billion, eighty-two million, six hundred sixty-two thousand, ten".