2748667680 has 288 divisors, whose sum is σ = 10772274240. Its totient is φ = 631203840.

The previous prime is 2748667673. The next prime is 2748667687. The reversal of 2748667680 is 867668472.

2748667680 is a `hidden beast` number, since 27 + 486 + 67 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2748667673) and next prime (2748667687).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2748667687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296394 + ... + 305526.

It is an arithmetic number, because the mean of its divisors is an integer number (37403730).

Almost surely, 2^2748667680 is an apocalyptic number.

2748667680 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 2748667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386137120).

2748667680 is an abundant number, since it is smaller than the sum of its proper divisors (8023606560).

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

2748667680 is a wasteful number, since it uses less digits than its factorization.

2748667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 2748667680 is about 52427.7376967574. The cubic root of 2748667680 is about 1400.7933734433.

The spelling of 2748667680 in words is "two billion, seven hundred forty-eight million, six hundred sixty-seven thousand, six hundred eighty".