2013824160 has 384 divisors, whose sum is σ = 7432508160. Its totient is φ = 508612608.

The previous prime is 2013824147. The next prime is 2013824207. The reversal of 2013824160 is 614283102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6872974 + ... + 6873266.

It is an arithmetic number, because the mean of its divisors is an integer number (19355490).

Almost surely, 2^2013824160 is an apocalyptic number.

2013824160 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 2013824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716254080).

2013824160 is an abundant number, since it is smaller than the sum of its proper divisors (5418684000).

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

2013824160 is a wasteful number, since it uses less digits than its factorization.

2013824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2013824160 is about 44875.6521958177. The cubic root of 2013824160 is about 1262.8172788176.

The spelling of 2013824160 in words is "two billion, thirteen million, eight hundred twenty-four thousand, one hundred sixty".