2748320640 has 576 divisors, whose sum is σ = 10942364160. Its totient is φ = 631701504.

The previous prime is 2748320609. The next prime is 2748320647. The reversal of 2748320640 is 460238472.

2748320640 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2748320595 and 2748320604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748320647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21640257 + ... + 21640383.

It is an arithmetic number, because the mean of its divisors is an integer number (18997160).

Almost surely, 2^2748320640 is an apocalyptic number.

2748320640 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 2748320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471182080).

2748320640 is an abundant number, since it is smaller than the sum of its proper divisors (8194043520).

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

2748320640 is a wasteful number, since it uses less digits than its factorization.

2748320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2748320640 is about 52424.4278938741. The cubic root of 2748320640 is about 1400.7344173902.

The spelling of 2748320640 in words is "two billion, seven hundred forty-eight million, three hundred twenty thousand, six hundred forty".