2272896000 has 264 divisors, whose sum is σ = 8194697784. Its totient is φ = 605798400.

The previous prime is 2272895969. The next prime is 2272896001. The reversal of 2272896000 is 6982722.

2272896000 is a `hidden beast` number, since 2 + 27 + 28 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 1984167936 = 16992^2 + 44544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2272896001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151014 + ... + 1152986.

Almost surely, 2^2272896000 is an apocalyptic number.

2272896000 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 2272896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097348892).

2272896000 is an abundant number, since it is smaller than the sum of its proper divisors (5921801784).

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

2272896000 is a wasteful number, since it uses less digits than its factorization.

2272896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2272896000 is about 47674.8990560022. The cubic root of 2272896000 is about 1314.8004824837.

It can be divided in two parts, 227289 and 6000, that added together give a square (233289 = 483²).

The spelling of 2272896000 in words is "two billion, two hundred seventy-two million, eight hundred ninety-six thousand".