2728904048640 has 2400 divisors, whose sum is σ = 12560508576000. Its totient is φ = 561842749440.

The previous prime is 2728904048621. The next prime is 2728904048657. The reversal of 2728904048640 is 468404098272.

2728904048640 is a `hidden beast` number, since 2 + 7 + 2 + 89 + 0 + 40 + 486 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25035816906 + ... + 25035817014.

It is an arithmetic number, because the mean of its divisors is an integer number (5233545240).

Almost surely, 2^{2728904048640} is an apocalyptic number.

2728904048640 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 2728904048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280254288000).

2728904048640 is an abundant number, since it is smaller than the sum of its proper divisors (9831604527360).

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

2728904048640 is an equidigital number, since it uses as much as digits as its factorization.

2728904048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2728904048640 in words is "two trillion, seven hundred twenty-eight billion, nine hundred four million, forty-eight thousand, six hundred forty".