2010032200 has 96 divisors (see below), whose sum is σ = 5114806560. Its totient is φ = 728537600.

The previous prime is 2010032197. The next prime is 2010032243. The reversal of 2010032200 is 22300102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762084 + ... + 764716.

It is an arithmetic number, because the mean of its divisors is an integer number (53279235).

Almost surely, 2^2010032200 is an apocalyptic number.

2010032200 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 2010032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557403280).

2010032200 is an abundant number, since it is smaller than the sum of its proper divisors (3104774360).

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

2010032200 is a wasteful number, since it uses less digits than its factorization.

2010032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2010032200 is about 44833.3826517697. The cubic root of 2010032200 is about 1262.0241673152.

Adding to 2010032200 its reverse (22300102), we get a palindrome (2032332302).

It can be divided in two parts, 201003 and 2200, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 2010032200 in words is "two billion, ten million, thirty-two thousand, two hundred".