2304216576 has 240 divisors, whose sum is σ = 7056981360. Its totient is φ = 722534400.

The previous prime is 2304216569. The next prime is 2304216581. The reversal of 2304216576 is 6756124032.

2304216576 is a `hidden beast` number, since 2 + 30 + 42 + 16 + 576 = 666.

It is a super-2 number, since 2×2304216576² = 10618828058226327552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2304216576.

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, 5745976 + ... + 5746376.

It is an arithmetic number, because the mean of its divisors is an integer number (29404089).

Almost surely, 2^2304216576 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 2304216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528490680).

2304216576 is an abundant number, since it is smaller than the sum of its proper divisors (4752764784).

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

2304216576 is a wasteful number, since it uses less digits than its factorization.

2304216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2304216576 is about 48002.2559469865. The cubic root of 2304216576 is about 1320.8122824161.

The spelling of 2304216576 in words is "two billion, three hundred four million, two hundred sixteen thousand, five hundred seventy-six".