2006256000 has 384 divisors, whose sum is σ = 7745643360. Its totient is φ = 458035200.

The previous prime is 2006255971. The next prime is 2006256019. The reversal of 2006256000 is 6526002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2351574 + ... + 2352426.

Almost surely, 2^2006256000 is an apocalyptic number.

2006256000 is a gapful number since it is divisible by the number (20) 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 2006256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872821680).

2006256000 is an abundant number, since it is smaller than the sum of its proper divisors (5739387360).

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

2006256000 is an equidigital number, since it uses as much as digits as its factorization.

2006256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2006256000 is about 44791.2491453409. The cubic root of 2006256000 is about 1261.2333602236.

The spelling of 2006256000 in words is "two billion, six million, two hundred fifty-six thousand".