2746788480 has 192 divisors, whose sum is σ = 9791608320. Its totient is φ = 708802560.

The previous prime is 2746788433. The next prime is 2746788491. The reversal of 2746788480 is 848876472.

It is a happy number.

2746788480 is a `hidden beast` number, since 27 + 4 + 67 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 170869 + ... + 186251.

It is an arithmetic number, because the mean of its divisors is an integer number (50997960).

Almost surely, 2^2746788480 is an apocalyptic number.

2746788480 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 2746788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895804160).

2746788480 is an abundant number, since it is smaller than the sum of its proper divisors (7044819840).

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

2746788480 is a wasteful number, since it uses less digits than its factorization.

2746788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2746788480 is about 52409.8128216463. The cubic root of 2746788480 is about 1400.4740707436.

The spelling of 2746788480 in words is "two billion, seven hundred forty-six million, seven hundred eighty-eight thousand, four hundred eighty".