2013933120 has 224 divisors, whose sum is σ = 6897502080. Its totient is φ = 496189440.

The previous prime is 2013933091. The next prime is 2013933143. The reversal of 2013933120 is 213393102.

2013933120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013933120² = 8111853223665868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 746494 + ... + 749186.

It is an arithmetic number, because the mean of its divisors is an integer number (30792420).

Almost surely, 2^2013933120 is an apocalyptic number.

2013933120 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 2013933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448751040).

2013933120 is an abundant number, since it is smaller than the sum of its proper divisors (4883568960).

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

2013933120 is a wasteful number, since it uses less digits than its factorization.

2013933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 2013933120 is about 44876.8662007498. The cubic root of 2013933120 is about 1262.8400537437.

The spelling of 2013933120 in words is "two billion, thirteen million, nine hundred thirty-three thousand, one hundred twenty".