2000012800 has 240 divisors, whose sum is σ = 5263850592. Its totient is φ = 752025600.

The previous prime is 2000012747. The next prime is 2000012803. The reversal of 2000012800 is 82100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000012803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19417549 + ... + 19417651.

Almost surely, 2^2000012800 is an apocalyptic number.

2000012800 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 2000012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631925296).

2000012800 is an abundant number, since it is smaller than the sum of its proper divisors (3263837792).

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

2000012800 is a wasteful number, since it uses less digits than its factorization.

2000012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

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

The square root of 2000012800 is about 44721.5026581174. The cubic root of 2000012800 is about 1259.9237377207.

Adding to 2000012800 its reverse (82100002), we get a palindrome (2082112802).

It can be divided in two parts, 20000 and 12800, that multiplied together give a square (256000000 = 16000²).

The spelling of 2000012800 in words is "two billion, twelve thousand, eight hundred".