2275616736 has 144 divisors (see below), whose sum is σ = 6946902144. Its totient is φ = 704028672.

The previous prime is 2275616729. The next prime is 2275616779. The reversal of 2275616736 is 6376165722.

2275616736 is a `hidden beast` number, since 2 + 27 + 5 + 616 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2275616691 and 2275616700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354225 + ... + 360591.

It is an arithmetic number, because the mean of its divisors is an integer number (48242376).

Almost surely, 2^2275616736 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 2275616736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473451072).

2275616736 is an abundant number, since it is smaller than the sum of its proper divisors (4671285408).

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

2275616736 is a wasteful number, since it uses less digits than its factorization.

2275616736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6462 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 2275616736 is about 47703.4247827135. The cubic root of 2275616736 is about 1315.3248940126.

The spelling of 2275616736 in words is "two billion, two hundred seventy-five million, six hundred sixteen thousand, seven hundred thirty-six".