2748971456 has 112 divisors (see below), whose sum is σ = 6820692480. Its totient is φ = 1067934720.

The previous prime is 2748971419. The next prime is 2748971501. The reversal of 2748971456 is 6541798472.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2748971398 and 2748971407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2478230 + ... + 2479338.

It is an arithmetic number, because the mean of its divisors is an integer number (60899040).

Almost surely, 2^2748971456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2748971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410346240).

2748971456 is an abundant number, since it is smaller than the sum of its proper divisors (4071721024).

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

2748971456 is a wasteful number, since it uses less digits than its factorization.

2748971456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 53.

The square root of 2748971456 is about 52430.6347091088. The cubic root of 2748971456 is about 1400.8449756233.

The spelling of 2748971456 in words is "two billion, seven hundred forty-eight million, nine hundred seventy-one thousand, four hundred fifty-six".