2016308090880 has 672 divisors, whose sum is σ = 7488465828480. Its totient is φ = 520277852160.

The previous prime is 2016308090857. The next prime is 2016308090941. The reversal of 2016308090880 is 880908036102.

2016308090880 is a `hidden beast` number, since 2 + 0 + 1 + 630 + 8 + 0 + 9 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 231409404 + ... + 231418116.

It is an arithmetic number, because the mean of its divisors is an integer number (11143550340).

Almost surely, 2^{2016308090880} is an apocalyptic number.

2016308090880 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 2016308090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744232914240).

2016308090880 is an abundant number, since it is smaller than the sum of its proper divisors (5472157737600).

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

2016308090880 is an frugal number, since it uses more digits than its factorization.

2016308090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2016308090880 in words is "two trillion, sixteen billion, three hundred eight million, ninety thousand, eight hundred eighty".