2728620195840 has 1008 divisors, whose sum is σ = 11809006949376. Its totient is φ = 566231040000.

The previous prime is 2728620195839. The next prime is 2728620195853. The reversal of 2728620195840 is 485910268272.

2728620195840 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 620 + 1 + 9 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3633315465 + ... + 3633316215.

It is an arithmetic number, because the mean of its divisors is an integer number (11715284672).

Almost surely, 2^{2728620195840} is an apocalyptic number.

2728620195840 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 2728620195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904503474688).

2728620195840 is an abundant number, since it is smaller than the sum of its proper divisors (9080386753536).

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

2728620195840 is an frugal number, since it uses more digits than its factorization.

2728620195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2728620195840 in words is "two trillion, seven hundred twenty-eight billion, six hundred twenty million, one hundred ninety-five thousand, eight hundred forty".