2013052400 has 60 divisors (see below), whose sum is σ = 5003158200. Its totient is φ = 777450240.

The previous prime is 2013052397. The next prime is 2013052409. The reversal of 2013052400 is 42503102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013052409) 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, 75170 + ... + 98369.

It is an arithmetic number, because the mean of its divisors is an integer number (83385970).

Almost surely, 2^2013052400 is an apocalyptic number.

2013052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013052400 is an abundant number, since it is smaller than the sum of its proper divisors (2990105800).

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

2013052400 is a wasteful number, since it uses less digits than its factorization.

2013052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173586 (or 173575 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2013052400 is about 44867.0524995792. The cubic root of 2013052400 is about 1262.6559412644.

Adding to 2013052400 its reverse (42503102), we get a palindrome (2055555502).

The spelling of 2013052400 in words is "two billion, thirteen million, fifty-two thousand, four hundred".