2748101013504 has 936 divisors, whose sum is σ = 10039101386496. Its totient is φ = 708983193600.

The previous prime is 2748101013473. The next prime is 2748101013529. The reversal of 2748101013504 is 4053101018472.

2748101013504 is a `hidden beast` number, since 2 + 7 + 48 + 1 + 0 + 101 + 3 + 504 = 666.

2748101013504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8836337509 + ... + 8836337819.

Almost surely, 2^{2748101013504} is an apocalyptic number.

2748101013504 is a gapful number since it is divisible by the number (24) 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 2748101013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019550693248).

2748101013504 is an abundant number, since it is smaller than the sum of its proper divisors (7291000372992).

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

2748101013504 is a wasteful number, since it uses less digits than its factorization.

2748101013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 2748101013504 in words is "two trillion, seven hundred forty-eight billion, one hundred one million, thirteen thousand, five hundred four".