2744080116960 has 576 divisors, whose sum is σ = 10836553460544. Its totient is φ = 578543616000.

The previous prime is 2744080116931. The next prime is 2744080116971. The reversal of 2744080116960 is 696110804472.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 581247400 + ... + 581252120.

It is an arithmetic number, because the mean of its divisors is an integer number (18813460869).

Almost surely, 2^{2744080116960} is an apocalyptic number.

2744080116960 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 2744080116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418276730272).

2744080116960 is an abundant number, since it is smaller than the sum of its proper divisors (8092473343584).

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

2744080116960 is a wasteful number, since it uses less digits than its factorization.

2744080116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6667 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 2744080116960 in words is "two trillion, seven hundred forty-four billion, eighty million, one hundred sixteen thousand, nine hundred sixty".