2013412800 has 336 divisors, whose sum is σ = 7796897792. Its totient is φ = 445132800.

The previous prime is 2013412771. The next prime is 2013412823. The reversal of 2013412800 is 82143102.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2013412800² = 8107662206407680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040634 + ... + 1042566.

Almost surely, 2^2013412800 is an apocalyptic number.

2013412800 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 2013412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898448896).

2013412800 is an abundant number, since it is smaller than the sum of its proper divisors (5783484992).

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

2013412800 is a wasteful number, since it uses less digits than its factorization.

2013412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2013412800 is about 44871.0686300204. The cubic root of 2013412800 is about 1262.7312885409.

Adding to 2013412800 its reverse (82143102), we get a palindrome (2095555902).

The spelling of 2013412800 in words is "two billion, thirteen million, four hundred twelve thousand, eight hundred".