2266272000 has 576 divisors, whose sum is σ = 8698609920. Its totient is φ = 580608000.

The previous prime is 2266271993. The next prime is 2266272017. The reversal of 2266272000 is 2726622.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 37151970 + ... + 37152030.

Almost surely, 2^2266272000 is an apocalyptic number.

2266272000 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 2266272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349304960).

2266272000 is an abundant number, since it is smaller than the sum of its proper divisors (6432337920).

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

2266272000 is an equidigital number, since it uses as much as digits as its factorization.

2266272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2266272000 is about 47605.3778474659. The cubic root of 2266272000 is about 1313.5219795382.

Adding to 2266272000 its reverse (2726622), we get a palindrome (2268998622).

The spelling of 2266272000 in words is "two billion, two hundred sixty-six million, two hundred seventy-two thousand".