2010611600 has 60 divisors (see below), whose sum is σ = 4837904640. Its totient is φ = 803011200.

The previous prime is 2010611591. The next prime is 2010611621. The reversal of 2010611600 is 61160102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284105 + ... + 291095.

It is an arithmetic number, because the mean of its divisors is an integer number (80631744).

Almost surely, 2^2010611600 is an apocalyptic number.

2010611600 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 2010611600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418952320).

2010611600 is an abundant number, since it is smaller than the sum of its proper divisors (2827293040).

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

2010611600 is a wasteful number, since it uses less digits than its factorization.

2010611600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2010611600 is about 44839.8438891127. The cubic root of 2010611600 is about 1262.1454168745.

Adding to 2010611600 its reverse (61160102), we get a palindrome (2071771702).

The spelling of 2010611600 in words is "two billion, ten million, six hundred eleven thousand, six hundred".