2016309240 has 256 divisors, whose sum is σ = 7418304000. Its totient is φ = 483056640.

The previous prime is 2016309233. The next prime is 2016309257. The reversal of 2016309240 is 429036102.

2016309240 is a `hidden beast` number, since 2 + 0 + 1 + 630 + 9 + 24 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 1056367 + ... + 1058273.

It is an arithmetic number, because the mean of its divisors is an integer number (28977750).

Almost surely, 2^2016309240 is an apocalyptic number.

2016309240 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 2016309240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709152000).

2016309240 is an abundant number, since it is smaller than the sum of its proper divisors (5401994760).

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

2016309240 is a wasteful number, since it uses less digits than its factorization.

2016309240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2016309240 is about 44903.3321703412. The cubic root of 2016309240 is about 1263.3365085253.

The spelling of 2016309240 in words is "two billion, sixteen million, three hundred nine thousand, two hundred forty".