2272112640 has 416 divisors, whose sum is σ = 9247311360. Its totient is φ = 518455296.

The previous prime is 2272112639. The next prime is 2272112651. The reversal of 2272112640 is 462112722.

2272112640 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 1 + 12 + 640 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3870427 + ... + 3871013.

Almost surely, 2^2272112640 is an apocalyptic number.

2272112640 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 2272112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623655680).

2272112640 is an abundant number, since it is smaller than the sum of its proper divisors (6975198720).

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

2272112640 is an equidigital number, since it uses as much as digits as its factorization.

2272112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2272112640 is about 47666.6827039600. The cubic root of 2272112640 is about 1314.6494152321.

The spelling of 2272112640 in words is "two billion, two hundred seventy-two million, one hundred twelve thousand, six hundred forty".