2754816000 has 384 divisors, whose sum is σ = 9750948480. Its totient is φ = 688128000.

The previous prime is 2754815981. The next prime is 2754816047. The reversal of 2754816000 is 6184572.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2754816000² = 15178022387712000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13055895 + ... + 13056105.

It is an arithmetic number, because the mean of its divisors is an integer number (25393095).

Almost surely, 2^2754816000 is an apocalyptic number.

2754816000 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 2754816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875474240).

2754816000 is an abundant number, since it is smaller than the sum of its proper divisors (6996132480).

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

2754816000 is a wasteful number, since it uses less digits than its factorization.

2754816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 2754816000 is about 52486.3410803230. The cubic root of 2754816000 is about 1401.8370442055.

The spelling of 2754816000 in words is "two billion, seven hundred fifty-four million, eight hundred sixteen thousand".