2256260400 has 240 divisors, whose sum is σ = 8503696800. Its totient is φ = 566231040.

The previous prime is 2256260389. The next prime is 2256260429. The reversal of 2256260400 is 40626522.

2256260400 is a `hidden beast` number, since 2 + 2 + 56 + 2 + 604 + 0 + 0 = 666.

2256260400 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 (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177456 + ... + 189744.

It is an arithmetic number, because the mean of its divisors is an integer number (35432070).

Almost surely, 2^2256260400 is an apocalyptic number.

2256260400 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 2256260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251848400).

2256260400 is an abundant number, since it is smaller than the sum of its proper divisors (6247436400).

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

2256260400 is a wasteful number, since it uses less digits than its factorization.

2256260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12333 (or 12316 counting only the distinct ones).

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

The square root of 2256260400 is about 47500.1094735581. The cubic root of 2256260400 is about 1311.5848968126.

Adding to 2256260400 its reverse (40626522), we get a palindrome (2296886922).

The spelling of 2256260400 in words is "two billion, two hundred fifty-six million, two hundred sixty thousand, four hundred".