2256184200 has 192 divisors, whose sum is σ = 7215341760. Its totient is φ = 582865920.

The previous prime is 2256184181. The next prime is 2256184201. The reversal of 2256184200 is 24816522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2256184201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4050322 + ... + 4050878.

It is an arithmetic number, because the mean of its divisors is an integer number (37579905).

Almost surely, 2^2256184200 is an apocalyptic number.

2256184200 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 2256184200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607670880).

2256184200 is an abundant number, since it is smaller than the sum of its proper divisors (4959157560).

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

2256184200 is a wasteful number, since it uses less digits than its factorization.

2256184200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2256184200 is about 47499.3073633711. The cubic root of 2256184200 is about 1311.5701313930.

The spelling of 2256184200 in words is "two billion, two hundred fifty-six million, one hundred eighty-four thousand, two hundred".