2013694200 has 648 divisors, whose sum is σ = 8462516400. Its totient is φ = 427714560.

The previous prime is 2013694159. The next prime is 2013694247. The reversal of 2013694200 is 24963102.

2013694200 is a `hidden beast` number, since 201 + 36 + 9 + 420 + 0 = 666.

It is a super-2 number, since 2×2013694200² = 8109928662227280000, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 25489761 + ... + 25489839.

Almost surely, 2^2013694200 is an apocalyptic number.

2013694200 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 2013694200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231258200).

2013694200 is an abundant number, since it is smaller than the sum of its proper divisors (6448822200).

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

2013694200 is a wasteful number, since it uses less digits than its factorization.

2013694200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2013694200 is about 44874.2041712162. The cubic root of 2013694200 is about 1262.7901133766.

The spelling of 2013694200 in words is "two billion, thirteen million, six hundred ninety-four thousand, two hundred".