2012800 has 96 divisors (see below), whose sum is σ = 5407020. Its totient is φ = 737280.

The previous prime is 2012789. The next prime is 2012807. The reversal of 2012800 is 82102.

It can be written as a sum of positive squares in 6 ways, for example, as 1459264 + 553536 = 1208^2 + 744^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2012807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54382 + ... + 54418.

2^2012800 is an apocalyptic number.

2012800 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 2012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703510).

2012800 is an abundant number, since it is smaller than the sum of its proper divisors (3394220).

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

2012800 is a wasteful number, since it uses less digits than its factorization.

2012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2012800 is about 1418.7318280775. The cubic root of 2012800 is about 126.2603167728.

Adding to 2012800 its reverse (82102), we get a palindrome (2094902).

The spelling of 2012800 in words is "two million, twelve thousand, eight hundred".