2746856448 has 528 divisors, whose sum is σ = 10014251520. Its totient is φ = 734552064.

The previous prime is 2746856417. The next prime is 2746856473. The reversal of 2746856448 is 8446586472.

It is a happy number.

2746856448 is a `hidden beast` number, since 2 + 74 + 6 + 8 + 564 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10321920) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2746856394 and 2746856403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33094615 + ... + 33094697.

Almost surely, 2^2746856448 is an apocalyptic number.

2746856448 is a gapful number since it is divisible by the number (28) 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 2746856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007125760).

2746856448 is an abundant number, since it is smaller than the sum of its proper divisors (7267395072).

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

2746856448 is an equidigital number, since it uses as much as digits as its factorization.

2746856448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 2746856448 is about 52410.4612458238. The cubic root of 2746856448 is about 1400.4856220076.

The spelling of 2746856448 in words is "two billion, seven hundred forty-six million, eight hundred fifty-six thousand, four hundred forty-eight".