2748819749760 has 768 divisors, whose sum is σ = 11341653523200. Its totient is φ = 627370168320.

The previous prime is 2748819749737. The next prime is 2748819749771. The reversal of 2748819749760 is 679479188472.

2748819749760 is a `hidden beast` number, since 2 + 7 + 48 + 8 + 1 + 97 + 497 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 686687919 + ... + 686691921.

It is an arithmetic number, because the mean of its divisors is an integer number (14767778025).

Almost surely, 2^{2748819749760} is an apocalyptic number.

2748819749760 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 2748819749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670826761600).

2748819749760 is an abundant number, since it is smaller than the sum of its proper divisors (8592833773440).

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

2748819749760 is a wasteful number, since it uses less digits than its factorization.

2748819749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 2748819749760 in words is "two trillion, seven hundred forty-eight billion, eight hundred nineteen million, seven hundred forty-nine thousand, seven hundred sixty".