2010253200 has 120 divisors (see below), whose sum is σ = 6778509600. Its totient is φ = 507847680.

The previous prime is 2010253183. The next prime is 2010253211. The reversal of 2010253200 is 23520102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2010253200² = 8082235856220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010253200.

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, 21285 + ... + 66884.

It is an arithmetic number, because the mean of its divisors is an integer number (56487580).

Almost surely, 2^2010253200 is an apocalyptic number.

2010253200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010253200 is an abundant number, since it is smaller than the sum of its proper divisors (4768256400).

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

2010253200 is a wasteful number, since it uses less digits than its factorization.

2010253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88209 (or 88198 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2010253200 is about 44835.8472653300. The cubic root of 2010253200 is about 1262.0704181696.

Adding to 2010253200 its reverse (23520102), we get a palindrome (2033773302).

The spelling of 2010253200 in words is "two billion, ten million, two hundred fifty-three thousand, two hundred".