2748144000 has 256 divisors, whose sum is σ = 10412812800. Its totient is φ = 628070400.

The previous prime is 2748143999. The next prime is 2748144011. The reversal of 2748144000 is 4418472.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 331911 + ... + 340089.

It is an arithmetic number, because the mean of its divisors is an integer number (40675050).

Almost surely, 2^2748144000 is an apocalyptic number.

2748144000 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 2748144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206406400).

2748144000 is an abundant number, since it is smaller than the sum of its proper divisors (7664668800).

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

2748144000 is an equidigital number, since it uses as much as digits as its factorization.

2748144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8218 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2748144000 is about 52422.7431560005. The cubic root of 2748144000 is about 1400.7044074240.

The spelling of 2748144000 in words is "two billion, seven hundred forty-eight million, one hundred forty-four thousand".