2002064256 has 256 divisors, whose sum is σ = 6257088000. Its totient is φ = 628936704.

The previous prime is 2002064249. The next prime is 2002064291. The reversal of 2002064256 is 6524602002.

2002064256 is a `hidden beast` number, since 200 + 206 + 4 + 256 = 666.

It is a super-2 number, since 2×2002064256² = 8016522570305667072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 7074291 + ... + 7074573.

It is an arithmetic number, because the mean of its divisors is an integer number (24441750).

Almost surely, 2^2002064256 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 2002064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128544000).

2002064256 is an abundant number, since it is smaller than the sum of its proper divisors (4255023744).

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

2002064256 is a wasteful number, since it uses less digits than its factorization.

2002064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2002064256 is about 44744.4326816197. The cubic root of 2002064256 is about 1260.3543674471.

Adding to 2002064256 its reverse (6524602002), we get a palindrome (8526666258).

The spelling of 2002064256 in words is "two billion, two million, sixty-four thousand, two hundred fifty-six".