2705155728 has 320 divisors, whose sum is σ = 8399462400. Its totient is φ = 741888000.

The previous prime is 2705155711. The next prime is 2705155751. The reversal of 2705155728 is 8275515072.

It is a self number, because there is not a number n which added to its sum of digits gives 2705155728.

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, 19461483 + ... + 19461621.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 2^2705155728 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 2705155728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

2705155728 is an abundant number, since it is smaller than the sum of its proper divisors (5694306672).

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

2705155728 is a wasteful number, since it uses less digits than its factorization.

2705155728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 42.

The square root of 2705155728 is about 52011.1115820456. Note that the first 3 decimals coincide. The cubic root of 2705155728 is about 1393.3624113241.

The spelling of 2705155728 in words is "two billion, seven hundred five million, one hundred fifty-five thousand, seven hundred twenty-eight".