2256010200 has 144 divisors (see below), whose sum is σ = 7905989520. Its totient is φ = 575435520.

The previous prime is 2256010193. The next prime is 2256010241. The reversal of 2256010200 is 20106522.

2256010200 is a `hidden beast` number, since 2 + 2 + 560 + 102 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14154 + ... + 68646.

It is an arithmetic number, because the mean of its divisors is an integer number (54902705).

Almost surely, 2^2256010200 is an apocalyptic number.

2256010200 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 2256010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952994760).

2256010200 is an abundant number, since it is smaller than the sum of its proper divisors (5649979320).

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

2256010200 is a wasteful number, since it uses less digits than its factorization.

2256010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54538 (or 54526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2256010200 is about 47497.4757224002. The cubic root of 2256010200 is about 1311.5364138343.

Adding to 2256010200 its reverse (20106522), we get a palindrome (2276116722).

The spelling of 2256010200 in words is "two billion, two hundred fifty-six million, ten thousand, two hundred".