2013412400 has 30 divisors (see below), whose sum is σ = 4837224252. Its totient is φ = 805364800.

The previous prime is 2013412351. The next prime is 2013412403. The reversal of 2013412400 is 42143102.

It is not an unprimeable number, because it can be changed into a prime (2013412403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2516366 + ... + 2517165.

Almost surely, 2^2013412400 is an apocalyptic number.

2013412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013412400 is an abundant number, since it is smaller than the sum of its proper divisors (2823811852).

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

2013412400 is a wasteful number, since it uses less digits than its factorization.

2013412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033549 (or 5033538 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2013412400 is about 44871.0641728052. The cubic root of 2013412400 is about 1262.7312049196.

Adding to 2013412400 its reverse (42143102), we get a palindrome (2055555502).

The spelling of 2013412400 in words is "two billion, thirteen million, four hundred twelve thousand, four hundred".