2738016000 has 288 divisors, whose sum is σ = 10107988800. Its totient is φ = 729907200.

The previous prime is 2738015981. The next prime is 2738016011. The reversal of 2738016000 is 6108372.

2738016000 is a `hidden beast` number, since 27 + 38 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2738016000³ (a number of 29 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862416 + ... + 865584.

Almost surely, 2^2738016000 is an apocalyptic number.

2738016000 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 2738016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053994400).

2738016000 is an abundant number, since it is smaller than the sum of its proper divisors (7369972800).

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

2738016000 is an equidigital number, since it uses as much as digits as its factorization.

2738016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2738016000 is about 52326.0546955338. The cubic root of 2738016000 is about 1398.9815722512.

The spelling of 2738016000 in words is "two billion, seven hundred thirty-eight million, sixteen thousand".