2048028355296 has 1536 divisors, whose sum is σ = 8046762393600. Its totient is φ = 495287654400.

The previous prime is 2048028355253. The next prime is 2048028355343. The reversal of 2048028355296 is 6925538208402.

2048028355296 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 0 + 2 + 83 + 552 + 9 + 6 = 666.

It is a super-2 number, since 2×2048028355296² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7236849171 + ... + 7236849453.

It is an arithmetic number, because the mean of its divisors is an integer number (5238777600).

Almost surely, 2^{2048028355296} 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 2048028355296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023381196800).

2048028355296 is an abundant number, since it is smaller than the sum of its proper divisors (5998734038304).

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

2048028355296 is a wasteful number, since it uses less digits than its factorization.

2048028355296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2048028355296 in words is "two trillion, forty-eight billion, twenty-eight million, three hundred fifty-five thousand, two hundred ninety-six".