2720978448000 has 1024 divisors, whose sum is σ = 9917096716800. Its totient is φ = 657506304000.

The previous prime is 2720978447987. The next prime is 2720978448007. The reversal of 2720978448000 is 8448790272.

It is not an unprimeable number, because it can be changed into a prime (2720978448007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1981775314 + ... + 1981776686.

Almost surely, 2^{2720978448000} is an apocalyptic number.

2720978448000 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 2720978448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958548358400).

2720978448000 is an abundant number, since it is smaller than the sum of its proper divisors (7196118268800).

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

2720978448000 is a wasteful number, since it uses less digits than its factorization.

2720978448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 2720978448000 in words is "two trillion, seven hundred twenty billion, nine hundred seventy-eight million, four hundred forty-eight thousand".