2256206000 has 80 divisors (see below), whose sum is σ = 5776505280. Its totient is φ = 849382400.

The previous prime is 2256205993. The next prime is 2256206021. The reversal of 2256206000 is 6026522.

It is a happy number.

2256206000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821 + ... + 67179.

It is an arithmetic number, because the mean of its divisors is an integer number (72206316).

Almost surely, 2^2256206000 is an apocalyptic number.

2256206000 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 2256206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888252640).

2256206000 is an abundant number, since it is smaller than the sum of its proper divisors (3520299280).

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

2256206000 is a wasteful number, since it uses less digits than its factorization.

2256206000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66399 (or 66383 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2256206000 is about 47499.5368398472. The cubic root of 2256206000 is about 1311.5743556546.

The spelling of 2256206000 in words is "two billion, two hundred fifty-six million, two hundred six thousand".