2240566272 has 440 divisors, whose sum is σ = 8132059584. Its totient is φ = 599851008.

The previous prime is 2240566271. The next prime is 2240566283. The reversal of 2240566272 is 2726650422.

2240566272 is a `hidden beast` number, since 2 + 24 + 0 + 5 + 6 + 627 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240566271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9870223 + ... + 9870449.

Almost surely, 2^2240566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066029792).

2240566272 is an abundant number, since it is smaller than the sum of its proper divisors (5891493312).

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

2240566272 is a wasteful number, since it uses less digits than its factorization.

2240566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2240566272 is about 47334.6202266375. The cubic root of 2240566272 is about 1308.5367715275.

The spelling of 2240566272 in words is "two billion, two hundred forty million, five hundred sixty-six thousand, two hundred seventy-two".