2272455936 has 432 divisors, whose sum is σ = 7512435840. Its totient is φ = 656916480.

The previous prime is 2272455929. The next prime is 2272455947. The reversal of 2272455936 is 6395542722.

2272455936 is a `hidden beast` number, since 22 + 72 + 4 + 559 + 3 + 6 = 666.

Its product of digits (907200) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 2272455891 and 2272455900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37253346 + ... + 37253406.

Almost surely, 2^2272455936 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 2272455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756217920).

2272455936 is an abundant number, since it is smaller than the sum of its proper divisors (5239979904).

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

2272455936 is a wasteful number, since it uses less digits than its factorization.

2272455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2272455936 is about 47670.2835737318. The cubic root of 2272455936 is about 1314.7156225069.

The spelling of 2272455936 in words is "two billion, two hundred seventy-two million, four hundred fifty-five thousand, nine hundred thirty-six".