2748461508960 has 384 divisors, whose sum is σ = 9124238462976. Its totient is φ = 694717071360.

The previous prime is 2748461508931. The next prime is 2748461508983. The reversal of 2748461508960 is 698051648472.

It is a happy number.

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 = 2748461508894 and 2748461508903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107420329 + ... + 107445911.

It is an arithmetic number, because the mean of its divisors is an integer number (23761037664).

Almost surely, 2^{2748461508960} is an apocalyptic number.

2748461508960 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 2748461508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562119231488).

2748461508960 is an abundant number, since it is smaller than the sum of its proper divisors (6375776954016).

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

2748461508960 is a wasteful number, since it uses less digits than its factorization.

2748461508960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25798 (or 25790 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 2748461508960 in words is "two trillion, seven hundred forty-eight billion, four hundred sixty-one million, five hundred eight thousand, nine hundred sixty".