2971028256 has 192 divisors, whose sum is σ = 9510359040. Its totient is φ = 792760320.

The previous prime is 2971028237. The next prime is 2971028267. The reversal of 2971028256 is 6528201792.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587001 + ... + 1588871.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 2^2971028256 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 2971028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755179520).

2971028256 is an abundant number, since it is smaller than the sum of its proper divisors (6539330784).

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

2971028256 is a wasteful number, since it uses less digits than its factorization.

2971028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2971028256 is about 54507.1394956661. The cubic root of 2971028256 is about 1437.5918237097.

The spelling of 2971028256 in words is "two billion, nine hundred seventy-one million, twenty-eight thousand, two hundred fifty-six".