2014981920 has 720 divisors, whose sum is σ = 8759741760. Its totient is φ = 433714176.

The previous prime is 2014981909. The next prime is 2014981937. The reversal of 2014981920 is 291894102.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 12065677 + ... + 12065843.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^2014981920 is an apocalyptic number.

2014981920 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 2014981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).

2014981920 is an abundant number, since it is smaller than the sum of its proper divisors (6744759840).

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

2014981920 is a wasteful number, since it uses less digits than its factorization.

2014981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2014981920 is about 44888.5499877196. The cubic root of 2014981920 is about 1263.0592329519.

The spelling of 2014981920 in words is "two billion, fourteen million, nine hundred eighty-one thousand, nine hundred twenty".