2013936160 has 96 divisors (see below), whose sum is σ = 5037681600. Its totient is φ = 758707200.

The previous prime is 2013936157. The next prime is 2013936163. The reversal of 2013936160 is 616393102.

It is an interprime number because it is at equal distance from previous prime (2013936157) and next prime (2013936163).

It is not an unprimeable number, because it can be changed into a prime (2013936163) 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 15 ways as a sum of consecutive naturals, for example, 542310 + ... + 546010.

It is an arithmetic number, because the mean of its divisors is an integer number (52475850).

Almost surely, 2^2013936160 is an apocalyptic number.

2013936160 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 2013936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518840800).

2013936160 is an abundant number, since it is smaller than the sum of its proper divisors (3023745440).

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

2013936160 is a wasteful number, since it uses less digits than its factorization.

2013936160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 2013936160 is about 44876.9000711948. The cubic root of 2013936160 is about 1262.8406891557.

The spelling of 2013936160 in words is "two billion, thirteen million, nine hundred thirty-six thousand, one hundred sixty".