2364228000 has 240 divisors, whose sum is σ = 8678694024. Its totient is φ = 630374400.

The previous prime is 2364227903. The next prime is 2364228019. The reversal of 2364228000 is 8224632.

2364228000 is a `hidden beast` number, since 236 + 422 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 525876624 + 1838351376 = 22932^2 + 42876^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320352 + ... + 327648.

Almost surely, 2^2364228000 is an apocalyptic number.

2364228000 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 2364228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339347012).

2364228000 is an abundant number, since it is smaller than the sum of its proper divisors (6314466024).

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

2364228000 is an equidigital number, since it uses as much as digits as its factorization.

2364228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2364228000 is about 48623.3277347407. The cubic root of 2364228000 is about 1332.1806426542.

The spelling of 2364228000 in words is "two billion, three hundred sixty-four million, two hundred twenty-eight thousand".