2010631680 has 320 divisors, whose sum is σ = 7522732800. Its totient is φ = 507617280.

The previous prime is 2010631673. The next prime is 2010631709. The reversal of 2010631680 is 861360102.

2010631680 is a `hidden beast` number, since 20 + 1 + 0 + 631 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2010631680³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

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, 1312515 + ... + 1314045.

It is an arithmetic number, because the mean of its divisors is an integer number (23508540).

Almost surely, 2^2010631680 is an apocalyptic number.

2010631680 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 2010631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761366400).

2010631680 is an abundant number, since it is smaller than the sum of its proper divisors (5512101120).

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

2010631680 is a wasteful number, since it uses less digits than its factorization.

2010631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2010631680 is about 44840.0677965589. The cubic root of 2010631680 is about 1262.1496185472.

Adding to 2010631680 its reverse (861360102), we get a palindrome (2871991782).

The spelling of 2010631680 in words is "two billion, ten million, six hundred thirty-one thousand, six hundred eighty".