2744749916160 has 640 divisors, whose sum is σ = 10190337062400. Its totient is φ = 617871310848.

The previous prime is 2744749916159. The next prime is 2744749916221. The reversal of 2744749916160 is 616199474472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2744749916094 and 2744749916103.

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, 4018667179 + ... + 4018667861.

It is an arithmetic number, because the mean of its divisors is an integer number (15922401660).

Almost surely, 2^{2744749916160} is an apocalyptic number.

2744749916160 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 2744749916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095168531200).

2744749916160 is an abundant number, since it is smaller than the sum of its proper divisors (7445587146240).

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

2744749916160 is an frugal number, since it uses more digits than its factorization.

2744749916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 2744749916160 in words is "two trillion, seven hundred forty-four billion, seven hundred forty-nine million, nine hundred sixteen thousand, one hundred sixty".