2270073216 has 64 divisors (see below), whose sum is σ = 6106291200. Its totient is φ = 747102720.

The previous prime is 2270073209. The next prime is 2270073229. The reversal of 2270073216 is 6123700722.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2270073216³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7080 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (95410800).

Almost surely, 2^2270073216 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 2270073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053145600).

2270073216 is an abundant number, since it is smaller than the sum of its proper divisors (3836217984).

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

2270073216 is an equidigital number, since it uses as much as digits as its factorization.

2270073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74927 (or 74915 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 2270073216 is about 47645.2853491298. The cubic root of 2270073216 is about 1314.2559590707.

Adding to 2270073216 its reverse (6123700722), we get a palindrome (8393773938).

The spelling of 2270073216 in words is "two billion, two hundred seventy million, seventy-three thousand, two hundred sixteen".