2270640312 has 96 divisors (see below), whose sum is σ = 6305345280. Its totient is φ = 737847360.

The previous prime is 2270640299. The next prime is 2270640319. The reversal of 2270640312 is 2130460722.

2270640312 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 640 + 3 + 12 = 666.

2270640312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270640319) 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, 956487 + ... + 958857.

It is an arithmetic number, because the mean of its divisors is an integer number (65680680).

Almost surely, 2^2270640312 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 2270640312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152672640).

2270640312 is an abundant number, since it is smaller than the sum of its proper divisors (4034704968).

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

2270640312 is a wasteful number, since it uses less digits than its factorization.

2270640312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

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

The square root of 2270640312 is about 47651.2362064197. The cubic root of 2270640312 is about 1314.3653897912.

The spelling of 2270640312 in words is "two billion, two hundred seventy million, six hundred forty thousand, three hundred twelve".