2256409000 has 128 divisors (see below), whose sum is σ = 5403340800. Its totient is φ = 881798400.

The previous prime is 2256408967. The next prime is 2256409007. The reversal of 2256409000 is 9046522.

It is a self number, because there is not a number n which added to its sum of digits gives 2256409000.

It is not an unprimeable number, because it can be changed into a prime (2256409007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13842919 + ... + 13843081.

It is an arithmetic number, because the mean of its divisors is an integer number (42213600).

Almost surely, 2^2256409000 is an apocalyptic number.

2256409000 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 2256409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701670400).

2256409000 is an abundant number, since it is smaller than the sum of its proper divisors (3146931800).

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

2256409000 is a wasteful number, since it uses less digits than its factorization.

2256409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2256409000 is about 47501.6736547251. The cubic root of 2256409000 is about 1311.6136903621.

The spelling of 2256409000 in words is "two billion, two hundred fifty-six million, four hundred nine thousand".