2962256256 has 288 divisors, whose sum is σ = 9548393400. Its totient is φ = 878321664.

The previous prime is 2962256203. The next prime is 2962256257. The reversal of 2962256256 is 6526522692.

2962256256 is a `hidden beast` number, since 29 + 62 + 2 + 562 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2962256256² = 17549924252422275072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2962256257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7069615 + ... + 7070033.

Almost surely, 2^2962256256 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 2962256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774196700).

2962256256 is an abundant number, since it is smaller than the sum of its proper divisors (6586137144).

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

2962256256 is a wasteful number, since it uses less digits than its factorization.

2962256256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 460 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2962256256 is about 54426.6134900932. The cubic root of 2962256256 is about 1436.1755927249.

The spelling of 2962256256 in words is "two billion, nine hundred sixty-two million, two hundred fifty-six thousand, two hundred fifty-six".