2016379008 has 360 divisors, whose sum is σ = 7028983455. Its totient is φ = 576108288.

The previous prime is 2016378997. The next prime is 2016379021. The reversal of 2016379008 is 8009736102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1008189504 + 1008189504 = 31752^2 + 31752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31752.

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 (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 288054141 + ... + 288054147.

Almost surely, 2^2016379008 is an apocalyptic number.

2016379008 is a gapful number since it is divisible by the number (28) 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 2016379008

2016379008 is an abundant number, since it is smaller than the sum of its proper divisors (5012604447).

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

2016379008 is an frugal number, since it uses more digits than its factorization.

2016379008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2016379008 is about 44904.1090324705. The cubic root of 2016379008 is about 1263.3510796111.

The spelling of 2016379008 in words is "two billion, sixteen million, three hundred seventy-nine thousand, eight".