2256611000 has 256 divisors, whose sum is σ = 6505574400. Its totient is φ = 717379200.

The previous prime is 2256610999. The next prime is 2256611009. The reversal of 2256611000 is 1166522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256611009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48012977 + ... + 48013023.

It is an arithmetic number, because the mean of its divisors is an integer number (25412400).

Almost surely, 2^2256611000 is an apocalyptic number.

2256611000 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 2256611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252787200).

2256611000 is an abundant number, since it is smaller than the sum of its proper divisors (4248963400).

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

2256611000 is an equidigital number, since it uses as much as digits as its factorization.

2256611000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2256611000 is about 47503.7998480122. The cubic root of 2256611000 is about 1311.6528289609.

Adding to 2256611000 its reverse (1166522), we get a palindrome (2257777522).

The spelling of 2256611000 in words is "two billion, two hundred fifty-six million, six hundred eleven thousand".