2001412800 has 210 divisors, whose sum is σ = 7357166388. Its totient is φ = 533675520.

The previous prime is 2001412799. The next prime is 2001412807. The reversal of 2001412800 is 82141002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2001412807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121879 + ... + 137321.

Almost surely, 2^2001412800 is an apocalyptic number.

2001412800 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 2001412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678583194).

2001412800 is an abundant number, since it is smaller than the sum of its proper divisors (5355753588).

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

2001412800 is a wasteful number, since it uses less digits than its factorization.

2001412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15477 (or 15453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2001412800 is about 44737.1523456735. The cubic root of 2001412800 is about 1260.2176494764.

Adding to 2001412800 its reverse (82141002), we get a palindrome (2083553802).

The spelling of 2001412800 in words is "two billion, one million, four hundred twelve thousand, eight hundred".