2967584256 has 480 divisors, whose sum is σ = 11037106080. Its totient is φ = 780337152.

The previous prime is 2967584201. The next prime is 2967584267. The reversal of 2967584256 is 6524857692.

2967584256 is a `hidden beast` number, since 2 + 9 + 6 + 7 + 584 + 2 + 56 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805720 + ... + 8806056.

It is an arithmetic number, because the mean of its divisors is an integer number (22993971).

Almost surely, 2^2967584256 is an apocalyptic number.

2967584256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967584256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518553040).

2967584256 is an abundant number, since it is smaller than the sum of its proper divisors (8069521824).

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

2967584256 is a wasteful number, since it uses less digits than its factorization.

2967584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 362 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2967584256 is about 54475.5381432804. The cubic root of 2967584256 is about 1437.0361260264.

The spelling of 2967584256 in words is "two billion, nine hundred sixty-seven million, five hundred eighty-four thousand, two hundred fifty-six".