2012730240 has 128 divisors (see below), whose sum is σ = 6565046400. Its totient is φ = 524224512.

The previous prime is 2012730233. The next prime is 2012730263. The reversal of 2012730240 is 420372102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70371 + ... + 94749.

It is an arithmetic number, because the mean of its divisors is an integer number (51289425).

Almost surely, 2^2012730240 is an apocalyptic number.

2012730240 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 2012730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282523200).

2012730240 is an abundant number, since it is smaller than the sum of its proper divisors (4552316160).

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

2012730240 is a wasteful number, since it uses less digits than its factorization.

2012730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444 (or 24432 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2012730240 is about 44863.4621936382. The cubic root of 2012730240 is about 1262.5885810474.

The spelling of 2012730240 in words is "two billion, twelve million, seven hundred thirty thousand, two hundred forty".