2010209652 has 216 divisors, whose sum is σ = 6030067680. Its totient is φ = 558230400.

The previous prime is 2010209629. The next prime is 2010209681. The reversal of 2010209652 is 2569020102.

2010209652 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 2 + 0 + 9 + 652 = 666.

It is a super-2 number, since 2×2010209652² = 8081885689987922208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28312777 + ... + 28312847.

It is an arithmetic number, because the mean of its divisors is an integer number (27916980).

Almost surely, 2^2010209652 is an apocalyptic number.

2010209652 is a gapful number since it is divisible by the number (22) 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 2010209652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015033840).

2010209652 is an abundant number, since it is smaller than the sum of its proper divisors (4019858028).

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

2010209652 is a wasteful number, since it uses less digits than its factorization.

2010209652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2010209652 is about 44835.3616245035. The cubic root of 2010209652 is about 1262.0613047174.

Adding to 2010209652 its reverse (2569020102), we get a palindrome (4579229754).

The spelling of 2010209652 in words is "two billion, ten million, two hundred nine thousand, six hundred fifty-two".