2010268800 has 384 divisors, whose sum is σ = 7512912000. Its totient is φ = 524759040.

The previous prime is 2010268783. The next prime is 2010268829. The reversal of 2010268800 is 88620102.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4578981 + ... + 4579419.

It is an arithmetic number, because the mean of its divisors is an integer number (19564875).

Almost surely, 2^2010268800 is an apocalyptic number.

2010268800 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 2010268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756456000).

2010268800 is an abundant number, since it is smaller than the sum of its proper divisors (5502643200).

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

2010268800 is a wasteful number, since it uses less digits than its factorization.

2010268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2010268800 is about 44836.0212329328. The cubic root of 2010268800 is about 1262.0736828077.

Adding to 2010268800 its reverse (88620102), we get a palindrome (2098888902).

The spelling of 2010268800 in words is "two billion, ten million, two hundred sixty-eight thousand, eight hundred".