2781148577328 has 320 divisors, whose sum is σ = 9257789606400. Its totient is φ = 790508160000.

The previous prime is 2781148577267. The next prime is 2781148577351. The reversal of 2781148577328 is 8237758411872.

2781148577328 is a `hidden beast` number, since 2 + 7 + 8 + 11 + 48 + 577 + 3 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8966598 + ... + 9271578.

It is an arithmetic number, because the mean of its divisors is an integer number (28930592520).

Almost surely, 2^{2781148577328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781148577328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628894803200).

2781148577328 is an abundant number, since it is smaller than the sum of its proper divisors (6476641029072).

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

2781148577328 is a wasteful number, since it uses less digits than its factorization.

2781148577328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305129 (or 305117 counting only the distinct ones).

The product of its digits is 42147840, while the sum is 63.

The spelling of 2781148577328 in words is "two trillion, seven hundred eighty-one billion, one hundred forty-eight million, five hundred seventy-seven thousand, three hundred twenty-eight".