2728355159040 has 176 divisors, whose sum is σ = 9973112911872. Its totient is φ = 623624011776.

The previous prime is 2728355159009. The next prime is 2728355159059. The reversal of 2728355159040 is 409515538272.

2728355159040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12580144 + ... + 12795183.

It is an arithmetic number, because the mean of its divisors is an integer number (56665414272).

Almost surely, 2^{2728355159040} is an apocalyptic number.

2728355159040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728355159040 is an abundant number, since it is smaller than the sum of its proper divisors (7244757752832).

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

2728355159040 is a wasteful number, since it uses less digits than its factorization.

2728355159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25375362 (or 25375344 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 2728355159040 in words is "two trillion, seven hundred twenty-eight billion, three hundred fifty-five million, one hundred fifty-nine thousand, forty".