2816640000 has 440 divisors, whose sum is σ = 10487517920. Its totient is φ = 746496000.

The previous prime is 2816639981. The next prime is 2816640011. The reversal of 2816640000 is 466182.

2816640000 is a `hidden beast` number, since 2 + 8 + 16 + 640 + 0 + 0 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 17279919 + ... + 17280081.

It is an arithmetic number, because the mean of its divisors is an integer number (23835268).

Almost surely, 2^2816640000 is an apocalyptic number.

2816640000 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 2816640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243758960).

2816640000 is an abundant number, since it is smaller than the sum of its proper divisors (7670877920).

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

2816640000 is an equidigital number, since it uses as much as digits as its factorization.

2816640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2816640000 is about 53072.0265299904. The cubic root of 2816640000 is about 1412.2463062795.

The spelling of 2816640000 in words is "two billion, eight hundred sixteen million, six hundred forty thousand".